Question

Find the measures of the numbers angles in each rectangle

Answer 1

Answer:

m<1 = 60°

m<2 = 30°

m<3 = 90°

Step-by-step explanation:

Recall some properties of Rectangle. Thus:

The four angles of a rectangle are right angles = 90° each.

Opposite sides of a rectangle are also parallel to each other.

With the knowledge of these, we can solve for angles 1, 2, and 3.

Thus:

m<1 = 60° (alternate interior angles are congruent)

m<2 + m<1 = 90° (complementary angles)

m<2 + 60° = 90° (substitution)

m<2 = 30° (substraction property of equality)

m<3 = 90° (angle of a rectangle)