Question

Transversal cuts parallel lines and as shown in the diagram, and mâ 4 = 55. 1°. What are mâ 5 and mâ 7? A. Mâ 5 = 34. 9°, and mâ 7 = 145. 1°. B. Mâ 5 = 55. 1°, and mâ 7 = 34. 9°. C. Mâ 5 = 124. 9°, and mâ 7 = 55. 1°. D. Mâ 5 = 55. 1°, and mâ 7 = 124. 9°. E. Mâ 5 = 34. 9°, and mâ 7 = 55. 1°.

Answer 1

The value of $\angle 5$ and $\angle 7$ is 125 degrees

The given parameter is:

$\angle 4 = 55$

From the question (see attachment), we have:

$\angle 5 = 180 - \angle 4$ ---- same side interior angle

$\angle 5 = \angle 7$ ---------------- vertical angles

Substitute 55 for <4 in $\angle 5 = 180 - \angle 4$

$\angle 5 = 180 - 55$

Subtract 55 from 180

$\angle 5 = 125$

Also, we have:

$\angle 5 = \angle 7$

Substitute 125 for <5

$\angle 7 = 125$

Hence, the values of $\angle 5$ and $\angle 7$ are 125 degrees, respectively

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