Question

If m∠AW⌢=61 ° and m∠AVW=84° , find m∠P⌢D.

a. 15°
b. 23°
c. 25°
d. 29°

Answer 1

To find the measure of angle PD, subtract the measures of angle AW and angle AVW from 180 degrees.

Step-by-step explanation:

To find m∠P⋮D, we can start by using the fact that the sum of the angles in a triangle is 180 degrees. Angle AW⋮ and Angle AVW are both part of Triangle AVW. So, to find angle P⋮D, we can subtract the measures of Angle AW⋮ and Angle AVW from 180 degrees:

m∠P⋮D = 180° - m∠AW⋮ - m∠AVW

Substituting in the given measures, we have:

m∠P⋮D = 180° - 61° - 84°

Calculating the expression, we get:

m∠P⋮D = 35°

So, the measure of angle P⋮D is 35°.