Question

Q-9(A)
Measurement of one angle of a complementary angle is 10° more than another ang
then what will be the measurement of the both the angles?
Solve
(B)​

Answer 1

Answer:

If two angles are complementary and one angle is 10 degrees greater than the other, then the smaller angle is 40 degrees

Solution:

Given that two angles are complementary:

Let the smaller complementary angle be "a"

Let the larger complementary angle be "b"

Two Angles are Complementary when they add up to 90 degrees

So we can say,

Smaller complementary angle + Larger complementary angle = 90

a + b = 90 --- eqn 1

Also given that one angle is 10 degree greater than other

b = a + 10 --- eqn 2

Substitute eqn 2 in eqn 1

a + a + 10 = 90

2a = 80

a = 40

From eqn 2,

b = 40 + 10

b = 50

Thus the smaller angle is 40 degrees

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Answer 2

Answer:

Step-by-step explanation:

we know that sum of two angles in a complementary angles = 90 degree

let the angle be = x

the two angles = 10+x,x

ATQ( according to the question)

10+x+x=90 degree

10+2x=90

2x=90-10

2x=80

x=80/2

x=40

the two angles = 40 degree

                          =10+40 = 50  degree