Question

If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:

Answer 1

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

or

m∠8 = 180 - 94 = 86

m∠3 ≈ m∠7 (corresponding angles)