Question

One angle of a triangle is 40 degrees. The other two angles are in the ratio 2:5. Find the angles.

Answer 1

Answer:

GIVEN :

• 1st angle = 40⁰
• Second and third angle are in ratio 2:5

TO FIND :

Angles

SOLUTION :

We are knowing that

Sum of all angles in triangle is 180⁰

Let the angles be 2x and 5x

$\large \sf \: 180 = 40 + \bigg \lgroup \: 2x + 5x \bigg \rgroup$

$\large \sf \: 180 - 40 = \bigg \lgroup7x \bigg \rgroup$

$\large \sf \: 140 = 7x$

$\large \sf \: x \: = \dfrac{140}{7}$

$\large \sf \: x = 20 \degree$

Now,

Angles are

$\large \bf \pink{2x = 2(20) = 40}$

$\large \bf \red{5x = 5(20) = 100}$