Question

In the figure, angle A measures 38

degrees and angle D measures 26
degrees. What is the measurement of angle E?

Answer 1

Angle E = 102°

Explanation:

In the figure, angle A measures 38

degrees and angle D measures 26

degrees. What is the measurement of angle E?

• the sum of the internal angles of a triangle is 180°, we know that the angle B measures 90° and the angle A measures 38°, we subtract the angles A and B from 180° and we find the angle C

180 - 38 - 90 = 52° (Angle C)

• now that we have angle C and angle D we can find angle E. they are all on a straight line, so the sum is 180°, from 180° we subtract angle C and D and we have angle E

180 - 52 - 26 = 102 (Angle E)

---------------------------

check

D + C + E = 180

26 + 52 + 102 = 180

180 = 180

the answer is good

• the other answer is wrong

Answer 2

E = 102

Explanation:

1) Write down what angles you already know

A = 38 (given)

D = 26 (given)

B = 90

2) Work out the angles in the triangle

A triangle has 180 degrees so...

• 38 + 90 = 128
• 180 - 128 = 52

3) Work out the angles on the straight line

From the previous calculation we know that C = 52 (as it was the remaining angle)

Angles on a straight line should add up to 180 and we are given that D = 26...

• 52+26 = 78

• 180 - 78 = 102
• E = 102

Hope this helps, have a great day!