Answer:1. The measure of angle P is 53. 2. The value of x is 25.
3. The length of each side of the triangle is 30 cm.
Explanation:
1. (3x +2) + (3x + 2 ) + (5x -11) =180 Angle Q and P have the same measures because it is an isosceles triangle that is why you have three expressions.
So x =17 and 3(17)+ 2 =53
2. (2x +10) + (2x+10) + (2x + 10)= 180 this is because the second triangle is an equilateral triangle which means all it have the same measures.
solve for x. and x is 25.
3.The third triangle is also an equilateral triangle so you will make the expressions equal each other and solve for y .
1/10y + 11= 3/5y -4
y= 30