Question

I need help with this math problem

Answer 1

A. 75°, 70°, 110°, 105°, 75°

Explanation:

As the figure says, the sum of all the angles is 360 degrees, thus, write down:

`(x-5)+(x+35)+1.4x+x=360`

And solve for x:

`(x-5)+(x+35)+1.4x+x=360\\4.4x-5+35=360\\4.4x+30=360\\4.4x=330\\x=75`

Replace x into the other angles and solve:

`A_1=(75-5)=70\\A_2=(75+35)=110\\A_3=1.4(75)=105\\A_4=75`

Choice A shows all the correct angle measures, therefore, A is the correct answer.

Answer 2

A

Explanation:

The sum of angles in a quadrilateral is 180

`(x - 5) + (x + 35) + 1.4x + x = 360`

`2x + 30 + 1.4x + x = 360`

`4.4x + 30 = 360`

`4.4x = 330`

`x = 75`

`x = 75`

`(x - 5) = 70`

`(x + 35) = 110`

`1.4x = 105`

`x = 75`