Question

Copy the diagram and oaloulate the sizes of

a bº and cº. What is the sum of the angles of
the triangle?​

Answer 1

sum of the angles of the triangle are 180°

Explanation:

To find the sum of the interior angles, we use the formula( s-2*180), where s is the number of sides of the shape. If it is a pentagon, 5-2*180= 3*180= 540,

which shows that the sum of the interior angles of a pentagon is 540.

since, it is a triangle in the figure with 3 sides, 3-2*180=1*180=180.

The interior angles are unknown= a, b and c. we know that a+b+c=180 degrees and the exterior angles are mentioned. And we know that, opposite angles are equal. So, a is 40 degrees considering that 40 degrees is the opposite angle of a, b is 95 degrees whereas c is 45 degrees.

now, lets check if the angles indeed have a sum of 180 degrees,

40+95+45= 135+45 which gives 180 degrees.

Answer 2

180°

Explanation:

→ Angles in a triangles always add up to 180, we can prove this by calculating a, b and c so,

a = 40° (vertical angles are equal)

b = 95° (vertical angles are equal)

c = 45° (vertical angles are equal)

40 + 45 + 95 = 85 + 95 = 180°