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Lines A and B are parallel.
Find the measure of Za.
a
116%
H
A
mza =
B
[ ? ] °

Lines A And B Are ParallelFind The Measure Of Zaa116HAmza B class=

Sagot :

Answer:

∠ a = 64°

Step-by-step explanation:

∠ a and 116° are same- side interior angles and sum to 180° , that is

∠ a + 116° = 180° ( subtract 116° from both sides )

∠ a = 64°

semsee45

Answer:

m∠a = 64°

Step-by-step explanation:

The given diagram shows parallel lines A and B intersected by a transversal.

According to the Same-Side Interior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°), so:

[tex]\sf m \angle a + 116^{\circ}=180^{\circ} \\\\ m \angle a =180^{\circ} -116^{\circ} \\\\ m \angle a =64^{\circ}[/tex]

Therefore, the measure of angle a is:

[tex]\LARGE\text{$\sf m \angle a=\boxed{\sf 64}^{\circ}$}[/tex]

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