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The side BC of a triangle ABC is produced to D. If ∠ACD = 112° and ∠B = 3/4 ∠A, then the measure of ∠B is
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- 30°
- 48°
- 45°
- 64°
- 30°
Correct Option: B
We draw a figure triangle ABC whose the side BC is produced to D , 
Exterior angle of a triangle is equal to the sum of remaining two interior angles.
From triangle ,
∴ ∠A + ∠B = ∠ACD = 112°
| Given , ∠B = | ∠A | |
| 4 |
| ⇒ | ∠B + ∠B = 112° | |
| 3 |
| ⇒ | = 112° | |
| 3 |
| ⇒ | = 112° | |
| 3 |
| ⇒ ∠B = | = 48° | |
| 7 |
