Question

Angle 1 and Angle 2 are vertical angles. If angle 1 =(17x+1) and angle 2=(20x-14) find angle 2

Answer 1

Answer: Angle 2 = 86°

Explanation:

Since these two angles are vertical angles we know that they are congruent.

Given:

17x + 1 = 20x - 14

Subtract 1 from both sides of the equation:

17x = 20x - 15

Subtract 20x from both sides of the equation:

-3x = -15

Divide both sides of the equation by -3:

x = 5

Now, we can substitute this value of x into the expression representing the measurement of angle 2. Then, we will simplify.

Given:

20x - 14

Substitute:

20(5) - 14

Simplify:

86°