Question

AB=BO, and OA=OC. Find the angle p nd q​

Answer 1

Answer:

p=60

q=30

Hope this will help you !

Good Luck

Answer 2

Answer:

p = 60 and q = 30

Step-by-step explanation:

in triangle AOB AB =BO it means that it's a isosceles triangle which have two equal angles which are found at the vertices of the other side which is unequal to them that is OA in AOB triangle so angle BAO = angle BOA = p

ATP

ABO + BAO  + BOA = 180

60 + p + p = 180

2p = 180-60 = 120

p = 120/2 = 60

BAO + BOA  = p = 60                            ...................................................(1)

in triangle AOC OA =OC  it means that it's a isosceles triangle which have two equal angles which are found at the vertices of the other side which is unequal to them that is AC in AOC triangle so angle OA = angle COA = q

in triangle ABC the angles are CBA = 60, CAB = OAB + OAC = p + q  and BCA = q

ATP

CBA + CAB + BCA = 180

CBA + OAB + OAC + BCA =180

60 + p + q + q = 180

60 + 60 + 2q = 180 ............................................................using (1) (p = 60)

120 + 2q = 180

2q = 180-120 = 60

q = 60/2 = 30

so p = 60 and q = 30

$<marquee>●●●●●</marquee>$