Question

Angle n and angle p are linear pairs, and angle n is 10 more than twice the measure of angle p. Determine the measure of angle p and angle n in degrees

Answer 1

p = 56.7°

n = 123.3°

Explanation:

The sum of linear pair angles is 180° because, because a linear pair angles, are angles formed by two intersected lines and the angle of a straight line is 180°.

Then your first equation is:

n + p = 180°

The second equation can be formulated with the information given:

"angle n is 10 more than twice the measure of angle p."

n = 10 + 2p

Replacing in the first equation:

10 + 2p + p = 180°

3p = 170°

p = 56.7°

n = 123.3°