Question

M∠A = 130, m∠B = 135, m∠C = 75, and m∠D = 100. What is the measure of ∠E?

a) 25 degrees
b) 35 degrees
c) 45 degrees
d) 55 degrees

Answer 1

To find the measure of angle E, subtract the sum of the measures of angles A, B, C, and D from 360 degrees. The measure of angle E is 280 degrees.

Step-by-step explanation:

To find the measure of angle E, we need to use the fact that the sum of the measures of angles in a quadrilateral is 360 degrees.

Since we know the measures of angles A, B, C, and D, we can subtract their sum from 360 to find the measure of angle E.

360 - (m∠A + m∠B + m∠C + m∠D) = m∠E

360 - (130 + 135 + 75 + 100) = m∠E

360 - 440 = m∠E

m∠E = -80°

However, since angles cannot have negative measures, the measure of angle E is 360 - 80 = 280 degrees