The angles are 20° and 70° respectively. Step-by-step explanation: According to the question, we are given that the ratio of an angle and its complement is 2:7. We need to find the pair of complementary angle. Let us assume the angles as 2x and 7x respectively. Two angles are considered as complementary when the sum of those angles is equal to 90°. Therefore, First Angle + Second Angle = 90° 2x + 7x = 90° 9x = 90° x = 90/9 x = 10° ________________________________________ Hence, the angles are: First angle = 2x = 2 × 10 = 20° Second angle = 7x = 7 × 10 = 70° ________________________________________ Reply
Answer:
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The angles are 20° and 70° respectively.
Step-by-step explanation:
According to the question, we are given that the ratio of an angle and its complement is 2:7. We need to find the pair of complementary angle.
Let us assume the angles as 2x and 7x respectively.
Two angles are considered as complementary when the sum of those angles is equal to 90°.
Therefore,
First Angle + Second Angle = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
________________________________________
Hence, the angles are:
First angle = 2x = 2 × 10 = 20°
Second angle = 7x = 7 × 10 = 70°
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