Question

NEED HELP PLS NEED HELP PLS I DONT WANNA FAIL PLS HELP HELP HELP

Answer 1

`\huge\boxed{\sf 126\° \ OR \ 145 \°}`

Explanation:

m∠4 + m∠7 = 180 (Adjacent Angles of a parallelogram)

Given that m∠4 = x + 45, m∠7 = x² + 45

x + 45 + x² + 45 = 180

x² + x + 90 = 180

x² + x = 180 - 90

x² + x = 90

x² + x - 90 = 0

Using mid-term break formula

x² + 10x - 9x - 90 = 0

x(x+10) - 9(x+10) = 0

(x - 9)(x + 10) = 0

Either,

x-9 = 0 OR x+10 = 0

x = 9 OR x = -10

`\rule[225]{225}{2}`

Now,

m < 7 = x² + 45

For x = 9

m < 7 = (9)² + 45

m < 7 = 81 + 45

m < 7 = 126°

For x = -10

m < 7 = (-10)² + 45

m < 7 = 100 + 45

m < 7 = 145°

`\rule[225]{225}{2}`

Hope this helped!

~AnonymousHelper1807