Find the angle measures. Justify your responses/
Given: a//b,, m3= 63 degrees.
Find: m6, m7
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Answer:
Step-by-step explanation:
m<3=m<7=63
m<6+m<7=180
m<6=180-63
m<6=117
m<7=63
m<6=117
The measurement for ∠6 and ∠7 will be 63° and 117° respectively.
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As we know the alternate opposite angle of the parallel lines are equal;
∠3 and ∠7 are alternate opposite angles;
So that;
m∠3=m∠7=63°
The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle
m∠6+m∠7=180
m∠6=180°-63°
m∠6=117
Substitute the value to get ∠7
m∠7=63°
m∠6=117°
Hence the measurement for ∠6 and ∠7 will be 63° and 117°.
To learn more about the angle measurement, refer to the link;
https://brainly.com/question/14684647
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