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1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.

What is m< A?

A) 44 degrees

B) 22 degrees

C) 75 degrees

D) 85 degrees


2. In the figure, m AB = 45 degrees and m CD = 23 degrees. The diagram is not drawn to scale.

What is the value of x?

A) 34 degrees

B) 56.5 degrees

C) 22 degrees

D)68 degrees


Can someone please check my work and tell me if I'm correct or not and explain.

Respuesta :

Aques
For question 1, the formula for that is m1= 1/2(a-b). 106 being A and 62 being B. You should get m1=.5*(106-62) which equals B.22

The measure of the missing angles in both instances is; m∠A = 22 degrees and x = 34 degrees

How to find the angles in the triangle?

1) For question 1, the formula for the missing angle from triangle is;

m∠A = ¹/₂(∠DE - ∠BC).

Thus;

m∠A = ¹/₂(106 - 62).

m∠A = 44/2

m∠A = 22 degrees

2) To get the missing angle, we will use the formula;

x = ¹/₂(AB + CD)

This is because the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

x = ¹/₂(45 + 23)

x = 34 degrees

Read more about angles in a triangle at; https://brainly.com/question/12621139

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