Question

13) Ir a triangle ABC, if LA + L B = 65 and LB + LC=
140, then the measure of LA is
a) to b) 25 c) 115 d)
6o.​

Answer 1

Step-by-step explanation:

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Answer 2

∠A + ∠B = 65°

∠B + ∠C = 140°

∠A + ∠B + ∠C = 180° (angle sum property)

∠C = 180 - (∠A + ∠B)

     = 180 - 65

     = 115°

∠B + ∠C = 140

∠B + 115 = 140

∠B = 140 - 115

     = 25

∠A + ∠B = 65

∠A + 25 = 65

∠A = 65 - 25

     = 40°        

Therefore, the measure of ∠A is 40°