1. The acute angles of right triangle are in the ratio 2 : 1. Find the measure of each of these angles.
(a) 550
and 350
(b) 600
and 300
(c) 500
and 400
(d) 450
and 450
Answers
Answered by
1
Step-by-step explanation:
Let the three angles be ∠A,∠B,∠C
and
∠A=2x
o
∠B=1x
o
∠C=90
o
[∵ from the question the given triangle is a right angled triangle. In this one of the angle is equal to 90
o
)
Now
∠A+∠B+∠C=180
o
(sum of the angles of a triangle is 180
o
)
2x
o
+1x
o
+90
o
=180
o
3x
o
=180
o
−90
o
3x
o
=90
o
x
o
=90/3=30
Now, substitute the value of x in the given angles
∠A=2x
o
=2×30=60
o
∠B=1x
o
=1×30=30
o
Hence the other angles are 60
o
and 30
o
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