Question

Two angles are congruent, Angle 1 measures 3x+10, and Angle 2 measures 2x+40. Find the measure of Angle 1.

A) 40 degrees
B) 60 degrees
C) 90 degrees
D) 100 degrees

Answer 1

The measure of Angle 1, given that Angle 1 and Angle 2 are congruent, is 100 degrees.

Step-by-step explanation:

To find the measure of Angle 1, we need to set up an equation since we know that Angle 1 and Angle 2 are congruent. We can set up the equation 3x+10 = 2x+40 and solve for x. Subtracting 2x from both sides gives us x+10 = 40, and then subtracting 10 from both sides gives us x = 30. Plugging in x=30 into the expression for Angle 1, we get Angle 1 = 3(30)+10 = 100 degrees. Therefore, the measure of Angle 1 is 100 degrees, so the correct answer is D) 100 degrees.