The measure of angle 1 (m ∠1) is 28° and the measure of angle 2 (m ∠2) is 62°
Calculating angles
From the question, we are to determine the measure of angle 1 and the measure of angle 2
The given diagram is a kite and the diagonals intersect at right angles
Thus,
m ∠2 + 28° + 90° = 180°
m ∠2 = 180° - 28° - 90°
m ∠2 = 62°
Hence, the measure of angle 2 is 62°
For the measure of angle 1
Consider ΔADB
ΔADB is an isosceles triangle
Thus,
In the triangle, m ∠D = m ∠B
Then, we can write that
m ∠1 + 62° + 90° = 180°
m ∠1 = 180° - 62° - 90°
m ∠1 = 28°
∴ The measure of angle 1 is 28°
Hence, the measure of angle 1 (m ∠1) is 28° and the measure of angle 2 (m ∠2) is 62°
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