Question
In a triangle ABC, angle A is half of B and angle C is thrice of A. Find the value of angle A, B and C? [4 MARKS]
Answer:
:
Concept: 1 Mark
Framing of the equation: 1 Mark
Steps: 1 Mark
Result: 1 Mark
Let the value of angle B be y∘
Then, value of angleA=y∘2
And, value of angleC=3y∘2
We know that sum of all angles in a triangle is 180∘.
⇒y∘+y∘2+3y∘2=180∘
⇒3y∘=180∘
⇒y∘=60∘= Value of angle B
So,Value of angle A=y∘2=30∘
Value of angle C=3y∘2=90∘.
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:
Concept: 1 Mark
Framing of the equation: 1 Mark
Steps: 1 Mark
Result: 1 Mark
Let the value of angle B be y∘
Then, value of angleA=y∘2
And, value of angleC=3y∘2
We know that sum of all angles in a triangle is 180∘.
⇒y∘+y∘2+3y∘2=180∘
⇒3y∘=180∘
⇒y∘=60∘= Value of angle B
So,Value of angle A=y∘2=30∘
Value of angle C=3y∘2=90∘.
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