the angle A of a triangle ABC is equal to the sum of the other two angles. also the ratio of the measure of angle B to that of C is 4:5. determine the three angles.
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Answer:
Correct option is
A
A=90
∘
,B=40
∘
and C=50
∘
Let angle B=4x and angle C=5x.
Given, angle A=B+C=4x+5x=9x
We know that sum of angles in a triangle =180
0
⇒9x+4x+5x=180
0
⇒18x=180
0
x=10
0
Hence, angles are A=9x=90
0
;B=4x=40
0
;C=50
0
.
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