Math, asked by nikhilsuryawanshi824, 6 months ago

The measures of angles of a triangle ABC, ∠A:∠B:∠C are in the ratio of 5:2:3 respectively. Find the measures of ∠A.

a) 90 degree
b) 36 degree
c) 54 degree
d) 60 degree​

Answers

Answered by priyankamgem
1

∠A:∠B:∠C= 5:2:3

∠A=5x\\

∠B=2x\\

∠C=3x\\

Sum of measure of angles in a triangle= 180°

5x\\ + 2x\\ + 3x\\ = 180°

10x\\ = 180°

x\\ = \frac{180}{10}= 18

∠A=5x\\=5x18=90°

∠B=2x\\=2x18=36°

∠C=3x\\=3x18=54°

Thus, Angle A= option a. 90 degrees.

Answered by Anonymous
0

The measures of angles of a Δ ABC, ∠A:∠B:∠C are in the ratio of 5:2:3.

let, the common ratio b/w them be x

 \therefore \:  \angle \: a \ratio\angle \: b\ratio\angle \: c = 5x\ratio2x\ratio3x \\  \\ we \: know \\ sum \: ofmeasures \: of \: all \: angles \: in \: triangle \:  = 180 \degree \\  \\ \angle \: a   + \angle \: b +\angle \:  c  = 180 \degree \\ \therefore5x + 2x + 3x = 180 \\ 1 \cancel{0}x = 18 \cancel{0} \\ x = 18 \\  \\ \underline{\boxed{\sf{ measure s\: of \:  \angle \: a = 5x = 90 \degree}}}

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