Question

Two supplementary angles are in the ratio 5 : 7 . Find the measure of the angles *
1 point
90° , 90°
65° , 115°
75° , 105°
28°, 72°

Answer 1

c) 75° and 105°

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Answer 2

Answer :

• 75⁰ , 105⁰ is the measure of the angles

Given :

• Two supplementary angles are in the ratio 5:7

To find :

• Measure of the angles

Solution :

Given,

Two supplementary angles are in the ratio 5:7 so,

• Let the two supplementary angles be 5x and 7x

We know that

• Sum of supplementary angles = 180⁰

➟ 5x + 7x = 180⁰

➟ 12x = 180⁰

➟ x = 180⁰/12

➟ x = 15⁰

• 5x = 5(15) = 75⁰
• 7x = 7(15) = 105⁰

Hence , 75⁰ , 105⁰ is the measure of the angles

Verification :

➟ 5x + 7x = 180⁰

➟ 5(15⁰) + 7(15⁰) = 180⁰

➟ 75⁰ + 105⁰ = 180⁰

➟ 180⁰ = 180⁰

Hence , Verified