Math, asked by amaniza76, 7 months ago

please do this I will mark you as brainliest... ​

Attachments:

Answers

Answered by nmchopra
1

Answer:

a=105, b=35, c=40

Step-by-step explanation:

Let us name the extended portion of AB as X

∠CBX=∠DAC =75 (Adjacent angles of a parallelogram are equal)

∠CBX=35+c =75

c=75-35=40

Now ∠ABC+∠CBX=180 (Angles on a straight line)

∠ABC+75=180

∠ABC=180-75=105

In ΔABC, sum of all interior angles is 180.

∴ ∠ABC+∠BCA+∠CAB=180

or  105+b+40=180

b=180-145=35

Now ∠ADC=∠ABC (opposite angles of a parallelogram are equal)

∴ ∠ADC=a=105

Hence, a=105, b=35, c=40

Similar questions