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Find the value of x, given that the m∠2=2x+16

a) -11
b) 11
c) 10
d) 12

Find the value of x, given that the m∠2=2x+16 a) -11 b) 11 c) 10 d) 12-example-1
User Jimmy Lu
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1 Answer

3 votes

Answer:

Option D

Explanation:

Given → Two sides of the triangle are equal in measure.

Therefore, given triangle is an isosceles triangle.

By the property of isosceles triangle, opposite angles of the equal sides of a triangle are equal in measure.

m∠A = m∠B = 70°

m∠A + m∠B + m∠C = 180°

70° + 70° + m∠C = 180°

m∠C = 180 - 140 = 40°

Since, m∠C = (2x + 16)°

(2x + 16)° = 40°

2x = 40 - 16 = 24

x = 12

Therefore, Option D will be the correct option.

Find the value of x, given that the m∠2=2x+16 a) -11 b) 11 c) 10 d) 12-example-1
User Ronny Vdb
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5.5k points