Find the value of each variable

m∠P = m∠Q = m∠R = 60º

Step-by-step explanation:

Because each of the sides are congruent, the angles are congruent. A triangle must add up to 180º, so when you divide 180 by 3, you get 60. Therefore, each angle is 60º.

angle P = 60

angle Q = 60

angle R = 60

Step-by-step explanation:

The triangle in the picture is an equilateral triangle. This means that all angles are the same.

Since all triangles have the interior angle of 180, simply take 180 and divide it by 3:

⇒ 180 ÷ 3

⇒ 60

All three angles are 60 degrees

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: