In a triangle abc, if angle a+angle b=150 and angle b+angle c=100 . Then find the measures of each angle of the triangle ?
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- angle A+B+C=180
- angle A+B=150 AND Angle B+C=100 THEN We will put the A+B =150 IN equetion first we will find angle C is 30 degree and we have b+c=100 then will put the 30 degree in this then we will find the angel b is 70 degree and finally we have angle A is 80 degree that solve
Answered by
15
Answer:
∠A=80°, ∠B=70°, ∠C=30°
Step-by-step explanation:
(∠A+∠B)+∠C=180° ( angle sum property)
150°+∠C=180°
∠C=180°-150°
∴∠C=30°
∠A+(∠B+∠C)=180° ( angle sum property)
∠A+100°=180°
∠A=180°-100°
∴∠A=80°
∠A+∠B+∠C=180° ( angle sum property)
80°+∠B+30°=180°
∠B=180°-110°
∴∠B=70°
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