Question

In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?

Answer 1

All the angles of a triangle add up to 180 degrees. 

We know <A= 41 and <B=90 (right angle mark)

Find <C.

41+90+<C= 180

131+<C= 180

Subtract by 131 on both sides. 

<C= 49

All the angles on that bottom line are supplementary because a line is a straight angle equal to 180 degrees. 

So, 

<C+<E+<D= 180 Plug in the values you know. 

49+<E+32= 180

81+<E=180

Subtract 81 on both sides. 

<E= 99 degrees.

I hope this helps!
~kaikers

Answer 2

Interior angles of a triangle, when added, = 180
so < A + < B + < C = 180
41 + 90 + < C = 180
131 + < C = 180
< C = 180 - 131
< C = 49

< C + < D + < E = 180.....because when added they form a line
49 + 32 + < E = 180
81 + < E = 180
< E = 180 - 81
< E = 99 <======