Question

ABCD-rhombus. Angle PAQ = 56 degrees. Find angle B.

Answer 1

a figure would help

Answer 2

It looks like triangle ABP has two right angles?

Answer 3

No, I just painted angle B

Answer 4

do its \[\angle B= 90\]

Answer 5

\[B \neq90\]

Answer 6

look at the quadrilateral APCQ

angle QAP = 56 angle AQC = CPA = 90

then by angle sum of a quadrilateral angle PCQ = 124

next look

then by the property of opposite angles in a rhombus are equal

angle BAD = 124

angles DAQ + BAP = 124 - 56
= 68

Answer 7

Thank you campbell_st:)

Answer 8

using opposite angles of a rhombus are equal

and angle BAD = angle BCD = 124

then angles ABC + ADC = 360 - 248
= 112

2ABC = 112

ABC = 56

Answer 9

thanks again))