Question

If the measure of ∠1 is 50°, what is the measure of ∠8?

Answer 1

Answer: The measure of angle 8 is 130 degrees.

Explanation:

Angle 8 and angle 4 has the same measures. The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and 8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.

Use the equation

50 + x =180 solve for x

-50 -50

x = 130

This means angle 8 is 130 degrees .

Answer 2

Hey there! :)

Answer:

Measure of ∠8 is 130°.

Explanation:

We can solve for ∠8 in multiple steps:

∠1 = 50°

∠5 = 50° due to corresponding angles being equivalent

180° - m∠5 = m∠8 due to supplementary angles

180° - 50° = m∠8 = 130°

Therefore, the measure of ∠8 is 130°.