sethchip
sethchip sethchip
  • 16-12-2020
  • Mathematics
contestada

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 m22x16 a 11 b 11 c 10 d 12 class=

Respuesta :

eudora eudora
  • 21-12-2020

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.

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