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Pepsi [2]
3 years ago
5

Find the measure of Angle 1

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0
AB || DC
so
m<1 = m<66
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

66º

Step-by-step explanation:

From the picture we know that AB║CD. Therefore, the line BD is a transversal line between two parallels.

We know that in these cases, the alternate interior angles are the same.

In the picture, angle 1 and the angle that measures 66º are alternate interior angles. Therefore, angle 1 measures 66º as well.

∠1 = 66º

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2 years ago
What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°​
Lady_Fox [76]

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

                             ↑

             Angle of the straight line = 180°

             The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
Read 2 more answers
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