Find The Measure Of Each Angle Indicated. We have prepared this article for you with detailed explanations and video narration. Here are the details.
Find The Measure Of Each Angle Indicated
- Corresponding Angles:
When two parallel lines are intersected by a transversal, eight angles are formed. Of the eight there is a type of angle known as corresponding, these angles are located on the corners and their measurement is the same.
- Answer and Explanation:
In the given image, we can see that the indicated angle is on the same side (right side) of the transversal. The indicated angle, ∠A, is an exterior angle and we can see that there is a given angle that is measured 131∘ that is an interior angle.
For this case, the indicated angle and the given angle are called corresponding angles and one property of corresponding angles is that they are always equal.
- Therefore, m∠A=131∘.
How To Find The Measure Of Each Angle Indicated
How To Find The Measure Of Each Angle Indicated: That’s our next question today, and it asks us to find the measure of each specified angle and round our answer to the nearest 10. OK, nothing to worry about. Let’s look at our first triangle here, we have a right-angled triangle and we have 11 lengths here.
This is 16, and we’re looking for this angle here. Okay, as we can see here this is going to be inverted and this is the hypotenuse. So we wanted to find the angle. We can think of Sokatoa, and we know that the sine is going to be equal to the inverse divided by the hypotenuse, and in this case 11 over 16.
How To Find The Measure Of Each Angle Indicated: The reverse sign is also called the bow sign, and let’s ask that to our calculator as soon as possible. Fast Reverse sign 11 divide by 16 is 43.43 degrees. Oh, he said round to the nearest 10, so it would be 43.4.
Grades are ok. So this will handle section 143.4. Great OK. So we will follow a similar procedure as we looked at #2. So we have 2.4 here. There are 8 of them here.
Right-angled triangle and we’re looking for this angle here. So here’s the inverse of the angle. Here we have a neighboring angle. Now, if we want to go back to our SOKATA, we know that the color bronze will be associated with the opposite and the adjacent. Tan Theta is equal to OP divided by our opposite neighbor, so let’s write 2.4/8 for the neighbor. So if we want to get the angle, we get the reverse tan.
Find The Measure Of Each Angle Indicated: 2.4/8 and let’s ask our calculator which is really fast 2.4/8 and my calculation for that is 16.7 degrees. If we round to the nearest 10, ok, I hope we get the same answer here 16.7 is great. Okay, then two are three left.
So let’s keep moving. Here we have our third question with this triangle. So here we have 13 on the hypotenuse. The angle here is the hypotenuse, and here’s the 4 on the opposite side.
Ok, another signed case. We can actually set it up because we know we’re going to have to do the reverse sign. This inverse divided by the hypotenuse is going to be 4/13. Okay, let’s find this out very quickly. The reverse sign is 4 over 13. My answer was 17.9 degrees.
Find The Measure Of Each Angle Indicated: Okay, a fair, pleasant and understandable 17.9. I hope we experience the same here. Perfect. Ok, that was number 3 pretty quickly. Now #4, that we’re more familiar with this type of procedure, we can do it a little faster. Here we have this triangle, we have 7, we have 15. Here’s the angle, so this is going to be opposite and this is going to be adjacent.
Okay, we know we will need inverse tan to find the angle because tan is opposite and adjacent. Inverse tan divided by adjacent 15/7 I expect something greater than 45 but less than 90. Tan 15 divided by 7 or inverse tan 15 divided by 7 and I got 64 degrees, so that’s 64 points.
How To Find The Measure Of Each Angle Indicated: 65.0 degrees. It was 64.98 but rounded it to 65 degrees. I hope we come to the same conclusion here. Yes great. And the last one is a triangle that looks like this. So our angle is here, this is our Theta, we have a hypotenuse and this is 15.
And here we have 11 neighbor lengths, so adjacent and hypotheses are related via cosine. So to get the angle we’ll have to do our inverse Cos, so it’s adjacent to 11/15.
Ok my love. Let’s find this angle. The reverse shore is 11/15 and this is 42.8 degrees so I hope we have come to the same answer here. 48.2 Yes great great. So yes, this is the John procedure.
Silkatoa’s power and right-angled triangle trigonometry. We can get all the angles right and rounding them to the correct number of digits is also important, but other than that the solution is fine. Good job, nice high 5. / Find the measure of each angle indicated calculator.
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