Question

The angles below are supplementary. What is the value of x?

A pair of supplementary angles is shown. One angle measures 7x + 33, and the other angle measures 70.

5.3
8.14
11
14.7

Answer 1

@Michele_Laino

Answer 2

When angles are supplementary, what do the two angles equal to be in degrees?

Answer 3

They can be up to 180 degrees

Answer 4

hint:
since the angles are supplementary, then we can write this:
\[\huge 7x + 33 + 70 = 180\]

Answer 5

how do we find which one it is

Answer 6

after a simplification, I get:
\[\Large \begin{gathered}
7x + 103 = 180 \hfill \\
7x = 180 - 103 \hfill \\
7x = 77 \hfill \\
\end{gathered} \]
please divide both sides by \(7\), what do you get?

Answer 7

11

Answer 8

x=11

Answer 9

that's right!

Answer 10

i get it thxs

Answer 11

:)