Angle ABC and angle DEF are complementary angles. The measure of angle ABC is twice the measure of angle DEF. Write an equation to find x, the measure of angle DEF, and then solve for x.

Step-by-step explanation:

∠DEF = x

∠ABC = 2*x = 2x

∠DEF + ∠ABC = 90  {as they are complementary}

x +2x = 90

3x = 90

x = 90/3

x = 30

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3