Question

Find the value x from the diagram below and then find M ∠ ABC

Answer 1

Answer: x =
`(25)/(6)`

∠ABC = 53°

Explanation:

Solution In given triangle, 2B=12x+3

12x+3

∠A = 86 , ∠C = 43°

We know that, Sum of all angles of triangle is 180°

86

∴ ∠A+ ∠B + ∠C = 180°

a

86 + 12x+3+ 43 = 180°

4-3

12x = 180° - 130

X =
`(50)/(12)` x =
`(25)/(6)`

с

∠ABC = 12x + 3 =
`(12)/(6)`x25 +3 → 50+3 = 53