Question

Find the value of x in each figure.can i have help on 1 and 2

Answer 1

`\begin{gathered} 1.\text{ x=28} \\ 2.\text{ x=11} \end{gathered}`

Explanation:

1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.

Therefore,

`\begin{gathered} 3x=84 \\ x=(84)/(3) \\ x=28 \end{gathered}`

2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:

`\begin{gathered} 46+4x=90 \\ 4x=90-46 \\ 4x=44 \\ x=(44)/(4) \\ x=11 \end{gathered}`