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

b = 90

Step-by-step 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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is