Question

Find angle B and angle C.

Answer 1

??

Answer 2

drop a perpendicular from from C on AD and try to solve

Answer 3

What do you mean?

Answer 4

Draw a line segment from A to C

Answer 5

Triangle ABC and triangle ADC are congruent by the SSS postulate

Answer 6

I did that. For C I got 25. For B I got 65.

Answer 7

so angle ABC = angle ADC by CPCTC (corresponding parts of congruent triangles are congruent)

Answer 8

B = 65 but C is not 25

Answer 9

let C be x degrees

all 4 angles of any quadrilateral always add to 360 degrees

so,

90+65+65+x = 360

x = ???

Answer 10

140

Answer 11

C = 140 is correct