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Isosceles triangle ABC is shown below. Triangle A B C. Angles B and C are x. Sides C A and B A extend to form an exterior angle at point A with a measure of 22 degrees. What is the value of x? 22° 79° 136° 158°

User Amazia Gur
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2 Answers

7 votes

Answer:

79

Explanation:

i got it right

2 votes

Answer:

79°

Explanation:

Assuming the diagram need to complete the question is the same as the one attached below,

From the diagram,

∠A+∠B+∠C = 180 (sum of the angles in a triangle is 180)..................... Equation 1

Given: ∠A = 22° (Vertically opposite angles are equal), ∠B = x, ∠C = x

Substitute these values into equation 1

22+x+x = 180

2x+22 = 180

2x = 180-22

2x = 158

x = 158/2

x = 79°

Hence the value of x is 79°

Isosceles triangle ABC is shown below. Triangle A B C. Angles B and C are x. Sides-example-1
User Antimirov
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