Question

the angle of a triangle ABC is equal to the sum of the other two angles also the ratio of angle b to the angle c is 2 is to 3 then measure of smallest angle is option a 49° option b 38° option c 54 degrees option b 36 degrees








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Answer 1

Answer:

a=90°,b=36° and c=54°

Hence smallest angle =36°

Step-by-step explanation:

Let the angles are a,b and c

a=b+c-------------(1)

a+a=a+b+c

2a=180°

a=90°------------(2)

Now b:c=2:3

Or b/c=2/3

b=2c/3----------(3)

Putting all values of a and b from (2) and (3) to (1)

90=2c/3+c

Multiplying by 3

3*90=2c+3c

270=5c

c=270/5=54°

From(1)

90=b+54

b=90-54=36°