in triangle ABC if angleA +angleB+= 65°and angle B + angle C =140° the measure of angle A =
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Step-by-step explanation:
In triangle ABC
- Angle A + Angle B = 65⁰
- Angle A = 65⁰ – Angle B
- Angle B + Angle C = 140⁰
- Angle C = 140⁰ – Angle B
- Angle A + Angle B + Angle C = 180⁰
putting value of Angle A & Angle C
65⁰–Angle B + Angle B + 140⁰ – Angle B = 180⁰
205⁰ – Angle B = 180⁰
Angle B = 205⁰ – 180⁰
Angle B = 25⁰
Angle A = 65⁰ – 25⁰ = 40⁰
Angle C = 140⁰ – 25⁰ = 115⁰
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