Question

in rhombus ABCD, <A=<B-30°,then find <c give method​

Answer 1

In rhombus ABCD , angle A= 3x+ 20 , angle C =x + 30

Answer 2

SEE THE ATTACHMENT FOR THE FIGURE

AS ABCD IS A RHOMBUS

ANGLE A=ANGLE C

ANGLE D=ANGLE B

GIVEN

ANGLE A=ANGLE B-30°

AND AS WE KNOW RHOMBUS IS A QUADRILATERAL THE SUM OF ALL ANGLES WILL BE EQUAL TO 360°

ANGLE A

+ ANGLE B+ANGLE C +ANGLED=360°

AS WE KNOW

ANGLE C=ANGLE A

ANGLE C= ANGLE B -30°

AND ANGLE D=ANGLE B

SO

ANGLE A+ANGLE B +ANGLE C +ANGLE D= 360°

ANGLE B-30° +ANGLE B + ANGLE B-30°+ANGLE B=360°

4(ANGLE B)-60°=360°

ANGLE B=420°/4

ANGLE B=105°

SO

ANGLE C=ANGLE B-30°

ANGLE C=105°-30°

=75°