If m∠A =91° and m∠B = 40°, find m∠1.

m∠1 is calculated as 49°.

Step-by-step explanation:

Consider the angles are the interior angles of a triangle.

                      m∠A =91°

                      m∠B = 40°

                      m∠1  = ?

We know that the sum of interior angles of a triangle is 180°. So,

                          m∠A + m∠B + m∠1 = 180°

                      or, m∠1 = 180°- m∠A - m∠B

                      or, m∠1 = 180°- 91° - 40°

                      or, m∠1 = 49°

Hence, m∠1 = 49°.

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