Answered

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

Find The Measure Of The Numbered Angles In The Kitem1m2 class=

Sagot :

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°

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