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MZRST = (7x + 11)

0
mZRQP = (4x + 32)
mZRST and mZRQP are alternate exterior angles.
Solve for x and find the measure of mZRST and mZRQP

MZRST = (7x + 11) 0 mZRQP = (4x + 32) mZRST and mZRQP are alternate exterior angles-example-1

1 Answer

1 vote

Answer:

see explanation

Explanation:

Alternate exterior angles are congruent, thus

∠ RST = ∠ RQP , substitute values

7x + 11 = 4x + 32 ( subtract 4x from both sides )

3x + 11 = 32 ( subtract 11 from both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Thus

∠ RST = 7(7) + 11 = 49 + 11 = 60°

∠ RQP = 4(7) + 32 = 28 + 32 = 60°

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