Question

1. Two complementary angles are in ratio 7:2. Find the angles. 2. Two supplementary angles are in ratio 5:4. Find the angles. please answer my question then i will mark you as brainiest ......

Answer 1

Solution 1:-

Let us Assume that , Two complementary angles are 7x and 2x respectively .

Than, we know that , sum of Two complementary angles is 90° .

Than,

→ 7x + 2x = 90°

→ 9x = 90°

→ x = 10°

Hence,

→ First angle = 7x = 7*10 = 70° (Ans.)

→ Second angle = 2x = 2*10 = 20° (Ans.)

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Solution 2:-

Let us Assume that , Two supplementary angles are 5x and 4x respectively .

Than, we know that , sum of Two supplementary angles is 180° .

Than,

→ 5x + 4x = 180°

→ 9x = 180°

→ x = 20° .

Hence,

→ First angle = 5x = 5*20 = 100° (Ans.)

→ Second angle = 4x = 4*20 = 80° (Ans.)

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Answer 2

Answer with explanation:

1. Two angles are complementary when their measures add upto 90 degrees.

Let the two angles be "7x" and "2x"

According to the question,

7x+2x= 90

9x= 90

x= 90/9

x= 10.

Now, the first angle will be -

7x = 7*10= 70

and the second angle will be 2x= 2*10= 20.

70+ 20= 90. hence, the angles are complementary.

2.  Two angles are supplementary when their measures add upto 180 degrees.

Let the two angles be "5x" and "4x"

According to the question,

5x+4x= 180

9x= 180

x= 180/9

x= 20.

Now, the first angle will be -

5x = 5*20= 100

and the second angle will be 4x= 4*20= 80.

100+ 80= 180. hence, the angles are suplementary. .