When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.
What are Complementary Angles?
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,
∠1 + ∠2 = 90°
x + x + 30 = 90°
2x = 60°
x = 30°
Thus, the measure of the angles can be written as,
∠1 = x = 30°
∠2 = x+30° = 60°
Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.
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