ACDE ~ APQR. m<C = 13°
,mLD = 65°
. What are the measures of angles P, Q, and R? (2 points)
mLP = ]°. m<Q = L
and mLR =
200
Given the Diagram:
A----C----D----E
|
|
L----D
We can see that:
m<C = m<Q because alternate interior angles are equal.
mLD = mLR because they are corresponding angles.
Therefore, m<Q = 13°.
To find m<P:
mLP + m<C = 180° (because they form a straight line)
mLP + 13° = 180°
mLP = 180° - 13°
mLP = 167°
To find m<R:
mLD + mQR = 180° (because they form a straight line)
65° + mQR = 180°
mQR = 180° - 65°
mQR = 115°
Therefore, the measures of angles P, Q, and R are:
m<P = 167°
m<Q = 13°
m<R = 115°