Question

Instructions: Find the measure of the missing angles in the kite.

Please help!

Answer 1

Step-by-step explanation:

m1:90 degrees . .... angles in a perpendicular line

m2: 180-(90+27).....angles in a triangle add to 180 degrees

m3:63 degrees ... angles in an iscolese triangle

Answer 2

The measure of angles 1, 2, 3 are -  $90^{o} ,\;63^{0} ,\;63^{0}$.

Consider the figure attached.

We have a labelled kite similar to mentioned in the question. We have angle ABO = $27^{o}$.

We have to find the measure of angle 1, 2, 3.

State the properties of kite.

Here are some of the properties of kite -

1. The diagonals of a kite intersect each other at  $90^{o}$ angle.
2. There are two pairs of equal length sides which are adjacent to each other.

According to the question -

In ΔAOB,

$\angle2 + \angle ABO+\angle AOB = 180^{o} \\\angle2+27^{o} +90^{o}=180^{o}\\\angle2+117^{o} =180^{o}\\\angle2 = 63^{o}$

Th, the two angles opposite to the two equal sides are also equal, since BA and BC are equal, therefore - $\angle2=\angle3$$=63^{o}$.

Since the diagonals of the kite intersect each other perpendicularly, therefore -

$\angle1=90^{o}$

Hence the measure of angles 1, 2, 3 are -  $90^{o} ,\;63^{0} ,\;63^{0}$.

To solve more questions on Kites, visit the link below -

https://brainly.com/question/24260949

#SPJ5