sides bc,ba and ca of angle abc are produced to d,f and e respectively. If angle acd=120 degree and angle of=45 degree, find three angles of angle abc.(Tell the correct answer or i will report and take the points back...)
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(i) ∠ABC
(ii) ∠BAC and ∠ACB
Also the interior angles opposite to exterior are ∠ABC and ∠ACB
Question: 2
In the fig, two of the angles are indicated. What are the measures of ∠ACX and ∠ACB?
two of the angles are indicated
Solution:
In ∆ABC, ∠A = 50° and ∠B = 55°
Because of the angle sum property of the triangle, we can say that
∠A + ∠B + ∠C = 180°
50°+ 55°+ ∠C = 180°
Or
∠C = 75°
∠ACB = 75°
∠ACX = 180°− ∠ACB = 180°−75° = 105°
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