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.​

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.​

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Maya 3 weeks 2021-09-05T05:37:35+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-05T05:38:38+00:00

    ∠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°                                    

    0
    2021-09-05T05:38:38+00:00

    Step-by-step explanation:

    plz inbox me I will explain you

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