Question

The measures of two interior opposite angles of a triangle are 30 degrees and 70 degrees. The measure of its exterior angle will be

Answer 1

Answer:

see below

Step-by-step explanation:

In a triangle, ABC the exterior angle at A = 70 deg. So <A = 180–70 = 110 deg.

If <B=3x and <C = 4x, 3x+4x = 7x = 70, or x= 10.

So <B = 30 deg and <C = 40 deg, and <A = 110 deg. The figure is an obtuse angled triangle.

The circumcentre of the circumscribing circle will be outside the triangle on the side of BC, opposite A. The incentre will be inside the triangle.