Question

find the measure of an angle that is 42 degree more than its complement ?​

Answer 1

Answer :

• 24 and 66 is the measure of an angle that is 42 degree more than its complement

Given :

• The measure of an angle that is 42 degree more than its complement

To find :

• Measure of an angle

Solution :

• Let the first complement be x
• Second complement be x + 42

As we know that,

• Complementary angles = 90⁰

According To Question,

》x + x + 42 = 90

》2x + 42 = 90

》2x = 90 - 42

》2x = 48

》x = 48/2

》x = 24

Then,

• First complement = x = 24
• Second complement = x + 42 = 24 + 42 = 66

Hence , 24 and 66 is the measure of an angle that is 42 degree more than its complement

Answer 2

Given :

• The measure of an angle is 42 degree more than its complement.

To Find :

• The two Complementary angles

Solution :

✰ As we know that, Sum of two Complementary angles is equal to 90° . Now in this question, it is given that one complementry angle is 42° more then it's complement. So let's assume the first complementry angle be p and and second complementry angle be p + 42. Now According to the Question Sum of two Complementary angles = 90° (p + (p + 42) = 90°) so simply we will solve this equation to find the complementary angles.

⠀⠀⠀

⠀⟼⠀Sum of 2 complement angles = 90°

⠀⟼⠀p + (p + 42) = 90°

⠀⟼⠀p + p + 42 = 90°

⠀⟼⠀2p + 42 = 90°

⠀⟼⠀2p = 90 - 42

⠀⟼⠀2p = 48°

⠀⟼⠀p = 48°/2

⠀⟼⠀p = 24°

⠀

Therefore :

➥ First Complementary angle = p

➥ First Complementary angle = 24°

⠀⠀⠀

➥ Second Complementary angle = p + 42

➥ Second Complementary angle = 24 + 42

➥ Second Complementary angle = 66°

___________________