Question

measurement of one angle of a complementary angle is 10* more than another angle. than what will be the measurement of another angle.​

Answer 1

Answer:

One angle is 40 degree

Step-by-step explanation:

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 degrees 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:

Let one of the angle be x

The other angle= x+$10^{o}$

Complementary angles add up to $90^{o}$

x+x+$10^{o}$=$90^{o}$

2x=$90^{o}$-$10^{o}$

2x=$80^{o}$

X=80/2=$40^{o}$

X=$40^{o}$

The other angle=$50^{o}$

Step-by-step explanation: