Question

Triangle VWT is an isosceles. Which equation can be used to find the measure of∠V?

A) 2x = 52
B) x + x – 52 = 180
C) 180 + 52 = x + x
D) 180 = 2x + 52

Answer 1

D

Explanation:

angle V and T are the same, so you add them. you get 2x

the overall sum of the angles is 180 and you already have the angle W measurement, which is 52.

so 2x+52=180

2x=180-52

2x=128

x=64

angles V and T measurements are 64

Answer 2

Answer: D)
`180=2x+52`

Explanation:

Given : Triangle VWT is an isosceles.

We know that an isosceles triangle has two sides and angles equal.

From the given picture , it is clear that
`\angle{V}=\angle{T}=x` [∵ Angles opposite to equal sides of a triangle are equal].

Also, the sum of interior angle of a triangle is 180°.

So for ΔVWT , we have

`\angle{V}+\angle{T}+\angle{W}=180^(\circ)\\\\\Rightarrow\ x^(\circ)+^(\circ)+52^(\circ)=180^(\circ)\\\\\Rightarrow\ 2x^(\circ)+52=180^(\circ)\\\\\Rightarrow\ 2x+52=180`

Hence, the equation can be used to find the measure of∠V is
`2x+52=180`.