Question

ABCD is a rhombus. If angle DAC = 50°, find angle ACD, CAB and ABC

Answer 1

hey mate here is your answer

Answer 2

Given : ABCD is a rhombus.

angle DAC=50,

To find :  (a)angle ACD (b) angle CAB (c)angle ABC.

Solution:

∠DAC = 50°

ABCD is a rhombus.  => AB = BC = CD = AD

rhombus is a parallogram also

hence AB || CD and BC || AD

in ΔACD  AD = CD

Hence ∠ACD = ∠DAC

=> ∠ACD = 50°

AB || DC

∠CAB  =  ∠ACD    ( interior alternate angles)

=> ∠CAB  =  50°

in  ΔABC  

AB = BC  Hence ∠ACB = ∠CAB =  50°

∠ACB + ∠CAB + ∠ABC = 180°

=> 50° + 50° + ∠ABC = 180°

=>  ∠ABC =  80°

Learn more:

in a rhombus if one angle is 120°,find all remaining angle​ - Brainly.in

brainly.in/question/13181142

PQRS is a square and PQTU is a rhombus. Angle UPS =136degree ...

brainly.in/question/12860463

In a rhombus abcd measure of angle cab is 25 then measure of ...

brainly.in/question/9394013