Answer:
From the graph attached, we know that
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate,
and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that
and
together are 180°, because they are on a straight angle. That is, 
If we substitute
for
, we have
, which means that
and
are also supplementary by definition.
Answer:
m∠1 = 110° and m∠2 = 70°
Step-by-step explanation:
m∠1 = 110° since vertical angles
To find m∠2, m∠1 and m∠2 must add to 180°
m∠1 + m∠2 = 180°
110° + m∠2 = 180°
m∠2 = 70°
Answer:
ANGLE 1 = 40°
Step-by-step explanation:
angle 1 = angle 2 ------(alternate interior angles)
2x + 20 = 3x + 10
20 - 10 = 3x - 2x
x = 10.
Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.
HOPE IT HELPS!!!
Answer:
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Answer:
See attachment for answers
Step-by-step explanation: