Question

Find the measure of the numbered angles in the kite:m∠1=m∠2=

Answer 1

• m∠1 = 98°

,

• m∠2 = 98°

Step-by-step explanation:

In a kite, the two angles are equal where the unequal sides meet.

Thus, m∠1=m∠2

The sum of the angles in any quadrilateral is 360 degrees.

`\begin{gathered} 74\degree+90\degree+m\angle1+m\angle2=360\degree \\ Given\text{ that }m\angle1=m\angle2 \\ 164\degree+m\angle1+m\angle1=360\degree \\ 164\degree+2m\angle1=360\degree \\ 2m\angle1=360\degree-164\degree \\ 2m\angle1=196\degree \\ m\angle1=(196\degree)/(2) \\ m\angle1=98\degree \end{gathered}`

Therefore, the measure of the numbered angles in the kite is:

• m∠1 = 98°

,

• m∠2 = 98°