The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²
The angles will be calculated as follows:-
13x² + 12x² + 20x² = 180
45x² = 180
x² = 4
x = ±2
The angles will be:-
∠ABC = 13x² = 13 x ( 2² ) = 52
∠ACB = 12x² = 12 ( 2² ) = 48
∠CAB = 20x² = 20 ( 2² ) = 80
Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.
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