Question

(1 ) the base angle of a triangle are in ratio 2:3 and the vertical angles is 50° . find the measure of base angles.


(2) if the vertical angle is thrice the base angle of an isosceles triangle is 30° more than the vertical angle, find the measure of all the three angles.
​

Answer 1

Step-by-step explanation:

(1) Let the base angles be 2x and 3x.

We know that sum of all angles of a triangle us 180°.

$2x + 3x + 50 = 180$

$5x + 50 = 180$

$5x = 180 - 50$

$5x = 130$

$x = \frac{130}{5}$

$x = 26$

Now the measure of base angles can be found by substituting the value of x.

Hence the base angles are :-

$2x = 2 \times 26 = 52$

and

$3x = 3 \times 26 = 78$

Hope it helps!!!

Dear, can you please confirm whether or not the second question is correctly written.