Question

Determine the value of x in the figure. answers: A) x = 60 B) x = 50 C) x = 130 D) x = 65

Answer 1

x = 65

Explanation:

This is an isosceles triangle which means that 2 angles are the same and all the angles have to equal 180.

A - 60+60+50 = 170(not 180)

50+50+60 = 160(not 180)

A is eliminated.

B is eliminated because then it will be an equilateral triangle.

C - 130+130+50 = 310(not 180)

50+50+130 = 230(not 180)

C is eliminated which leaves D.

D = 65+65+50 = 180(TRIANGLE!!!!!!!!!!)

Answer 2

D

Explanation:

Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent, thus

x =
`(180-50)/(2)` =
`(130)/(2)` = 65 → D