Find the value of x, given that the m∠2=2x+16
a) -11
b) 11
c) 10
d) 12
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Answer:
Option D
Step-by-step 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.