Question

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

Answer 1

By definition, vertical angles are congruent. This means that the measure of one vertical angle is equal to the measure of the other vertical angle. Thus, we can set up the equation:

m∠1 = m∠2

(2x - 16)° = 98°

Now, we can solve for x by isolating the variable:

2x - 16 = 98

2x = 114

x = 57

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