Question

In the accompanying diagram of parallelogramABCD, m_A = (2x + 10) and mZB = 3x. Find thenumber of degrees in m_B.D3x(2x + - 10)ABBYour answer

Answer 1

Angle B = 102°

Angle A = 78°

Step-by-step explanation

The first thing to note in answering this is that for parallelograms,

- Opposite angles are equal to each other.

- Adjacent angles (angles close to each other) sum up to give 180°.

So, in the given parallelogram, we can see that the two angles given are adjacent angles. Hence,

2x + 10° + 3x = 180°

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

Divide both sides by 5

(5x/5) = (170°/5)

x = 34°

So, we can solve for Angle B now

Angle B = 3x = 3 (34°) = 102°

Angle A = 2x + 10° = 2(34°) + 10° = 68° + 10° = 78°

Hope this Helps!!!