What is
p² + (p +7)²=169

-12 or 5

Step-by-step explanation:

p² + (p+7)² = 169

p² + (p²+14p+49) = 169

2p² + 14p + 49 - 169 = 0

2p² + 14p - 120 = 0

2p² + 24p - 10p - 120 = 0

2p(p+12) - 10(p+12) = 0

(p+12)(2p-10) = 0

p+12 = 0 , or 2p-10 = 0

p = -12 or 5

X = 95 degrees

Y = 147 degrees

Z = 128 degrees

Step-by-step explanation:

Angle z can be found as : = 128 degrees. This is because the sum of the internal angle and the external angle on the same vertex is 180°

The opposite of angle X can be found as = 85 degrees.

Now angle X lies on the same line. We can say X is exterior angles to the opposite interior angle of bigger triangle.

Angle X = = 95 degrees

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle Y = = 147 degrees.