Question

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Find each one of the indicated angle measures. Justify your responses. Given: a||b, m∠ 4=113° Find: m∠5, m∠7

Answer 1

Answer:

63

Step-by-step explanation:

angle 5 is equal to angle 7 and angle 3 is equal to angle 5. Hence angle 5 is equal to 180-113=67    angle 3 and angle 4 is equal because they are supplementary meaning = 180 and we know angle 4 is equal to 113 so angle 3 is equal to 180-113 and angle 3 is equal to angle 5 because they are alternate interior angles. angle 5 and angle7 are vertically opposite angles so they are equal to each other so the asnwer is 63

Answer 2

The indicated angle is measured.

To find each one of the indicated angle measures.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

m∠4+ m∠5=180º (Interior angles on the same side of the transversal)

m∠5=180º-113º=67º

m∠5=m∠7=67º( vertically opposite angle are equal)

m∠6+ m∠5=180º(linear pair)

m∠6=180º-67º=113º

m∠6=m∠8 =113º(vertically opposite angle are equal)

m∠4+ m∠3=180º(linear pair)

m∠3=180º-113º=67°

m∠4=m∠2=113° (vertically opposite angle are equal)

m∠2+m∠1=180º(linear pair)

m∠1=180º-113°=67°

So, the indicated angle is measured above.

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