Question

Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale. (image attached)thank you ! :)

Answer 1

`\begin{gathered} <1=39\degree \\ <3=51\degree \end{gathered}`

Step-by-step explanation

We want to find the measures of <1 and <3 in the kite given.

The diagonals of a kite bisect each other at right angles.

This implies that:

`<2=90\degree`

Since the longer diagonal of the kite bisects the angle
`<1=39\degree`We can solve for <3 using the sum of angles in a triangle:

`<3+39+90=180`

Simplify and solve for <3:

`\begin{gathered} <3=180-90-39 \\ <3=51\degree \end{gathered}`

That is the answer.