Question

One of the exterior angles of a triangle is 70° and the interior opposite angles are in the ratio
3: 4. Find the angles of the triangle.​

Answer 1

Step-by-step explanation:

One of the exterior angles of a triangle is 70 degrees, and the interior opposite angles are in the ratio 3:4. What are the angles of the triangle?

exterior angle =70

hence complementary interior angle =180–70 =110

one of the three angles of triangle is 110degree

hence sum of 2 remaining angle =180 -110 =70

we have to distribute 70 degrees in 3:4 ratio

3+4 =7

for 7 =70 degrees so far 3 =70*3 /7 =30degrees

similarly other angle is =70*4/7 =40degrees or 70–30=40degrees

Answer :The angles of triangle are 30 degrees,40degrees &110 degrees

Answer 2

Answer:

as rhe sum of 2 interior angles is = exterior opposite angle.

let the ratio be 3x and 4x

so 3x+4x =70

7x =70

x= 10°

so angles are

3x=3×10= 30°

4x =4 × 10=40°

hope it helps ..pls follow:))