Question

if these two figures are similar, what is the measure of the missing angle? not feeling ready yet? these can help: work it out

Explanation:

Step1: Recall sum of angles in a quadrilateral

The sum of interior - angles of a quadrilateral is 360°.

Step2: Calculate the missing angle

Let the missing angle be \(x\). Then \(x=360-(68 + 83+58)\)
\[

$$\begin{align*} x&=360-(209)\\ x& = 151 \end{align*}$$

\]
Since the two figures are similar, corresponding angles are equal. The missing angle in the second quadrilateral is equal to the corresponding angle in the first quadrilateral.

Answer:

151