Question

in a parallelogram PQRS. if m angle S = 60°, what is measure of the other angles.​

Answer 1

Answer:

120

explanation:

in a parallelogram angles "p" and "q" add up to 180*degrees

(in this question)

We know adjacent angles of a parallelogram are supplementary, so angle q = 180-60 = 120 degrees

Answer 2

Step-by-step explanation:

Given :

⬜ PORS is a parallelogram

mAngleS=60°

To find :

m angle P

m angle Q

m angle R

Solution:

m angle Q = m angle S.... [opposite side of

paralleogram are

Congruent

mAngleS=60°................... [given]

Therefore, mAngle Q =60°

m angle P = m angle R....... [opposite side of paralleogram are congruent](1)

mangle P+mangle Q+mangle R+mangle S=360°

m angle P+60°+m angle R +60°=360°

m angle P+m angle R+120°=360°

m angle P+m angle R=360°-120°

m angle P+m angle R=240°

m angle P+mangle P =240° .........from(1)

2(m angle P)=240°

m angle P=120°

Therefore, m angle R =120°....... From(1)

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