Question

In a triangle the largest angle is 5 degree more than 4 times its smallest angle.The other angle is twice the smallest angle.What are the 3 angles of the triangle

Answer 1

Answer:

Hope it helps

Step-by-step explanation:

One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. What are the measures of all three angles?

Let the three angles be a, b and c

Let angle “a" = x

Let angle “b" = x + 30°

Let angle “c" = “a" + “b" = x + x + 30° = 2x + 30°

Total angle in a triangle = 180°

Therefore; “a" + “b" + “c" = 180°

Which births; (x + (x + 30°) + (2x + 30°)) = 180°

So we have; 4x + 60° = 180°

This gives; x = (180° - 60°) ÷ 4

So; x = 30°

Plugging this value of x into the earlier equations for angles “a”, “b” and “c".

“a" = x = 30°

“b" = x + 30° = 60°

“c" = 2x + 30° = 90°

Answer 2

Given :-

In a triangle the largest angle is 5 degree more than 4 times its smallest angle.The other angle is twice the smallest angle

To Find :-

Angles

Solution :-

Let the angles be x,y and z

x = x

z = 4x + 5

y = 2x

ATQ

x + y + z = 180

x + 4x + 5 + 2x = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25°

Hence

x = 25

y = 4x + 5 = 4(25) + 5 = 100 + 5 = 105°

z = 2x = 2(25) = 50°