Question

In ANOP, NP is extended through point P to point Q, m_PNO = (2+14), m_OPQ = (5x – 2), and m_NOP = (2-1). Find m_OPQ?

A. 164°
B. 166°
C. 33.2°
D. 180°

Answer 1

To find the measure of angle OPQ, use the given information and apply the properties of triangles.

Step-by-step explanation:

To find the measure of angle OPQ, we can use the information given. We have m_PNO = (2+14), m_NOP = (2-1), and we need to find m_OPQ.

We know that the sum of the measures of angles in a triangle is 180°. So, m_PNO + m_NOP + m_OPQ = 180°.

Substituting the given values, we have (2+14) + (2-1) + m_OPQ = 180°. Simplifying, we get 15 + 1 + m_OPQ = 180°. Combining like terms, we have 16 + m_OPQ = 180°.

Finally, subtracting 16 from both sides, we have m_OPQ = 164°.