Question

find the angle bisector of q. q= 100°​

Answer 1

Answer:

the bisector angle of 100 is its half so it is 50 degree

Answer 2

Step-by-step explanation:

We know that sum of interior angles of quadrilateral is 360

o

∠P+∠Q+∠R+∠S=360

o

∠P+∠Q+100+50=360

∠P+∠Q=210

o

……………..(1)

OP and OQ are bisectors of angles P and Q,

∠P=2∠OPQ and ∠Q=2∠OQP

So from (i), we have

2∠OPQ+2∠OQP=210

o

2(∠OPQ+∠OQP)=210

o

∠OPQ+∠OQP=105

o

…………….(2)

Consider triangle POQ,

∠POQ+∠OPQ+∠OQP=180

o

∠POQ+105

o

=180

o

[using equation (3)]

∠POQ=180

o

−105

o

∠POQ=75

o

.