Respuesta :

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
shubhamchouhanvrVT

A triangle is a three-edged polygon with three vertices. The measure of ∠1 and ∠5 is 40° and 35° respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. For any triangle, the sum of all the interior angles is equal to 180°.

In the given figure the measure of ∠1 can be written as,

∠1 = 180° - 90° - 50°

∠1 = 40°

Since the measure of ∠1 is 40°, the measure of ∠3 will also be 40°, because both the angles are vertical angles.

Now for ∠5, the measure can be written as,

∠5 = 180° - 105° - 40°

∠5 = 35°

Hence, the measure of ∠1 and ∠5 is 40° and 35° respectively.

Learn more about Triangle:

https://brainly.com/question/2773823

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