## Jen is making a frame to stretch a canvas over for a painting. She nailed four pieces of wood together at what she believes will be the four vertices of a square. How can she be sure that the canvas will be a square? a. All four of the pieces of wood are the same length & at least two interior angles are congruent. b. At least two pieces of wood are the same length & at least two interior angles are congruent. c. At least two pieces of wood are the same length & all four interior angles are congruent. d. All four of the pieces of wood are the same length & all four interior angles are congruent.

October 13, 2019// Blog//

**Answer:**

The angles whose equals to 60 ° are ∠1 , ∠2 , ∠3 , ∠4 .

**Step-by-step explanation:**

As given

l and m are the parallel lines .

m ∠ 1 = 60 °

Thus

∠1 = ∠2 = 60 °

(As l and m are the parallel lines and ∠ 1 and ∠2 are the vertically opposite angles .)

As

∠2 = ∠3

(As l and m are the parallel lines and ∠2 and ∠3 are the alternate interior angles. )

As

∠3 = ∠4 = 60°

( As l and m are the parallel lines and ∠ 3 and ∠4 are the vertically opposite angles )

Therefore the angles whose equals to 60 ° are ∠1 , ∠2 , ∠3 , ∠4 .