||m then find the value of x. * 60°
25°
35°
45°
Answers
Answer:
Given :-
l // m
Find :-
Value of x
Solution :-
∠B = 60° { by Alternate Angle }
Now, In ∆ ABC
By using the angle sum property of the triangle :-
∠A + ∠B + ∠C = 180°
\longrightarrow\angle{A = x}⟶∠A=x
\longrightarrow\angle{B = 60^{\circ}}⟶∠B=60
∘
\longrightarrow\angle{C = 80^{\circ}}⟶∠C=80
∘
Substituting the respective values in it, we get :
↬ x + 60° + 80° → 180°
↬ x + 140° → 180°
↬ x = 180° - 140°
↬ x = 40°
Therefore, ( x → 40° )
Verification
↬ ∠A + ∠B + ∠C = 180°
↬ 40° + 60° + 80° → 180°
↬ 180° = 180°
LHS = RHS
Hence, Verified!!
Thus , Option (C) is correct.
• Angle sum property of Triangle
➹ According to the angle sum property of a triangle , the sum of all the sides of the triangle is equal to 180°.
• What is Parallel lines?
➹ Two different lines in a plane are said to be parallel, if there is no point common in them even through these lines are extended on both sides to any extent.
Step-by-step explanation:
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Answer:
answer must be 45^0
Step-by-step explanation:
use Pythagoras triplet and trigonometry