Question

I need help with this math problem

Answer 1

Answer:

A

Step-by-step explanation:

The sum of angles in a quadrilateral is 180

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

$2x + 30 + 1.4x + x = 360$

$4.4x + 30 = 360$

$4.4x = 330$

$x = 75$

$x = 75$

$(x - 5) = 70$

$(x + 35) = 110$

$1.4x = 105$

$x = 75$

Answer 2

Answer:

A. 75°, 70°, 110°, 105°, 75°

Step-by-step 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.