Question

6. Find the measure of angle adc
plz reply very important give step by step explanation​

Answer 1

Answer:

3x+2-24+2+10+4x+2x+x= 360

x-1=36

x=37

now,

x+10

37+10

=47

Step-by-step explanation:

hope it will help you

Answer 2

Answer:

Step by step explanation–

1. The sum of all the exterior angles of a quadrilateral is 360°.
2. Therefore, (3x+2)° + (4x-24)° + (2x+2) + (x+10) = 360° ---------[Exterior angle property]
3. 3x+2+4x-24+2x+2+x+10=360°
4. 3x+4x+2x+x=360-2+24-2-10
5. 10x=370
6. x=370/10
7. x=37° ---------(i)

8. Now, ∠(x+10)=37+10 ---------{from(i)}

=47° ---------(ii)

9. ∠(x+10)+∠ADC = 180° -------{Linear Pair Axiom}

10. Substituting eq. (ii) in above eq., we get

47+∠ADC=180°

11. Therefore, ∠ADC=180-47

=133°

The measure of angle ADC is 133°.

Hope it helps......