Question

Find the values of the variable, giving brief reasons for your answers.

please help me with the answer. thank you.​

Answer 1

a= 108 degrees

b=88 degrees

c= 90 degrees

d= 90 degrees

Explanation:

For a degrees since 72 degrees and a degrees make a straight angle:

180-72= a

So, a=108 degrees

Same goes for b degrees:

180-92=b

So, b=88 degrees

For c degrees, you need to know that the sum of the angles in a quadrilateral equal to 360 degrees.

So, 74+a+b+c=360

= 360- (74+108+88)=c

= 90 degrees= c

So since d degrees and c degrees make a straight angle,

180-90=d

90 degrees= d