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

Answer:

D

Step-by-step 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) $180=2x+52$

Step-by-step 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 $2x+52=180$.