Respuesta :

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.

What is angle measurement?

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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