Question

There are two vertical angles in a figure with measure m 1 = (2x-16)° and m 2 = 98°. What equation will solve for x?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Vertical angles are formed by two intersecting lines. They are opposite to each other and have equal measures.

In this case, we are given that m1, one of the vertical angles, has a measure of (2x-16)° and m2, the other vertical angle, has a measure of 98°.

Since vertical angles are equal, we can set up an equation to find the value of x.

(2x-16)° = 98°

Simplifying the equation, we can solve for x:

2x - 16 = 98

Adding 16 to both sides:

2x = 114

Dividing both sides by 2:

x = 57

Therefore, the equation that will solve for x is 2x - 16 = 98.