Question

Find the measure of angle C of △ABC, if: m∠A=60°+α, m∠B=60°−α.

Answer 1

Answer:

consider c as x

i.e,x+60+a+60-a=180

x+120=180

x=60

Step-by-step explanation:

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Answer 2

Given:

A triangle ABC is given with $\angle A =60+\alpha$$, \angle B =60-\alpha$.

To Find:

We have to find the measure of angle C ?

Step-by-step explanation:

• In the given problem $\angle A$ of triangle ABC is  $60+\alpha$   and  $\angle B$ of triangle ABC is $60-\alpha$.

• We know that, the sum of all the three angles of triangle is 180 degree.

        Sum of  $\angle A$ ,  $\angle B$, and $\angle C$ is $180 ^\circ$.

• Let the angle C of triangle ABC is be X.

        then,                  $\angle A$ $+$  $\angle B$ $+$ $\angle C$  $=180^\circ$

                           $(60+\alpha )+(60-\alpha )+X=180^\circ$

                                           $120^\circ+X=180^\circ$

                                                    $X=(180-120)^\circ$

                                                    $X=60^\circ$

                     

          So, angle C of triangle ABC is 60°.

Triangle ABC could be a equilateral triangle as all the three

angles are equal.