Question

In triangle , the line BO and CO bisect the angle B=70 and angle C =60 respectively find the angle BOC

Answer 1

Answer:

hey mate

Step-by-step explanation:

In triangle ABC

Using Angle Sum Property, angleA + angleB + angleC = 180

Since angleA = 70, angleB + angleC = 110 →(i)

In triangle BOC

Using Angle Sum Property, angleBOC + angleOCB + angleOBC = 180

angleBOC + 1/2angleC + 1/2angleB = 180

angleBOC + 1/2(angleC + angleB) = 180

angleBOC + 1/2(110) = 180

angleBOC = 180-55

angleBOC = 125

Alter method: Using Corrolary of Angle Sum Property

angleBOC = 90 + 1/2angleA

angleBOC = 90 + 35

angleBOC = 125

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