Answer:
• m∠1 = 98°
,
• m∠2 = 98°
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.
[tex]\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=\frac{196\degree}{2} \\ m\angle1=98\degree \end{gathered}[/tex]
Therefore, the measure of the numbered angles in the kite is:
• m∠1 = 98°
,
• m∠2 = 98°
