Question

5 The smallest angle of a triangle, in degrees, is p.

The second angle is 4 times the smallest angle.
The third angle is 5 times the smallest angle.
a Write an equation for the angles in the triangle in terms of p.

b Find the size of the largest angle in the triangle.

b in paticular

Answer 1

Answer: b = 90

Explanation:

Full triangle is 180

5 + 4 = 9 + 1 (the smallest angle)

180 ÷ 10 = 18

First and smallest angle is 18

p= 18

Second angle is 72

18 × 4 = 72

Thrid angle is 90

18 × 5 = 90

b = 90

18 + 72 = 90 + 90 = 180