Math / Geometry

QuestionFind the measure of the indicated angle that makes lines $u$ and $v$ parallel. a. $117^{\circ}$ b. $91^{\circ}$ c. $102^{\circ}$ d. $53^{\circ}$ \#3/6 Prev Next $>$

Studdy Solution

STEP 1

1. Lines $u$ and $v$ will be parallel if corresponding angles formed by a transversal are equal.
2. The angle labeled $117^\circ$ on line $u$ and the unknown angle on line $v$ are corresponding angles.

STEP 2

1. Identify the corresponding angle to the given $117^\circ$ angle.
2. Determine the measure of the corresponding angle to make lines $u$ and $v$ parallel.

STEP 3

Identify the corresponding angle to the given $117^\circ$ angle. The corresponding angle to $117^\circ$ on the other side of the transversal is the angle formed on the lower right side of the transversal and line $v$ .

STEP 4

Determine the measure of the corresponding angle to make lines $u$ and $v$ parallel. For lines $u$ and $v$ to be parallel, the corresponding angles must be equal.
Therefore, the measure of the corresponding angle to $117^\circ$ must also be $117^\circ$ .
Solution: The measure of the indicated angle that makes lines $u$ and $v$ parallel is $117^\circ$ .

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