Question

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

Answer 1

Answer:

x = 65

Step-by-step 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

Answer:

D

Step-by-step explanation:

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

x = $\frac{180-50}{2}$ = $\frac{130}{2}$ = 65 → D