What is the measure of angles 5 and 6.

22° and 158°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in the triangle from 180

∠5 = 180° - (90 + 68)° = 180° - 158° = 22°

∠5 and ∠ 6 form a straight angle, thus the angles are supplementary

∠6 = 180° - ∠5 = 180° - 22° = 158°

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)