Question

Help pls not graded test

Answer 1

The missing angle of the given triangle  is 59°.

What is vertically opposite angles?

  Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.

Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,

⇒ 49°+31°+x = 180°

⇒ 80° + x= 180°

⇒x= 180°-80°=100°

Then unknown angle in triangle 1 ia 100°.

Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,

In triangle 2 angle is 100° and 21°. Then missing angle is,

⇒ 100°+21°+missing angle =180°

⇒Missing angle = 180°-100°-21°

⇒Missing angle = 59°

Therefore the answer is 59°.

To learn more about Vertical angle ,

brainly.com/question/18450499

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