Question

two angles are complementary and the measure of the smaller angle is 50degree less than the measure of the larger find the measure of the larger angle solve this question please

Answer 1

Answer:

Let larger angle= a

smaller angle = a-50

sum of complmentary angles is 90 degree

so,

a+a-50 =90

2a -50=90

2a =90+50

2a=140

a=70(larger angle)

smaller angle=70-50=20

Step-by-step explanation:

Answer 2

Given:

We have given the two angles are complementary. And the smaller angle is 50 degrees less then larger angle.

To Find:

We have to find the Measure of angle?

Step-by-step explanation:

• Let the Larger angle be x degree.
• We have given that a smaller angle is 50 degrees less than a larger angle.
• Thus, the larger angle will be x-50.
• Now we have both the angle smaller and larger are complementary angles.
• This means that the addition of both angles will be 180 degrees.

        $x+x-50^\circ=90^\circ$

• Now do the simplification in the above equation by adding the like variables.

        $2x-50^\circ=90^\circ$

• Now take degree 50 to the right-hand side.

       $2x=90^\circ+50^\circ\\2x=140^\circ\\x=70^\circ$

• Thus, the value of x is 70 degrees. Thus, the larger angle is 70 degree.

       $\textrm{smaller angle}=70^\circ-50^\circ=20^\circ$

Hence, the smaller angle is 20 degree and larger angle is 70 degree.