Question

Given m21 = (2y – 7)º and m23 = (y + 17)º, what is the measure of angle m1?

A. 2y – 7 degrees.
B. 2y + 7 degrees.
C. y degrees.
D. 2y degrees.

Answer 1

To find the measure of angle m1, set up an equation using the given information about angles m21 and m23. Solve for m1 by isolating it on one side of the equation. The measure of angle m1 is 170 - 3y degrees.

Step-by-step explanation:

To find the measure of angle m1, we need to use the given information about angles m21 and m23. Angle m21 is equal to (2y - 7) degrees and angle m23 is equal to (y + 17) degrees. Since angles in a triangle add up to 180 degrees, we can set up an equation:

(2y - 7) + m1 + (y + 17) = 180

Simplifying this equation gives us: 3y + 10 + m1 = 180

To find the value of m1, we need to isolate it on one side of the equation. Subtracting 10 from both sides gives us: 3y + m1 = 170. Finally, subtracting 3y from both sides gives us: m1 = 170 - 3y. Therefore, the measure of angle m1 is 170 - 3y degrees.