Question

Please Help!!! Will give brainly!!

Answer 1

Answer:

FIrst, lets set up some rules to keep in mind:

The interior angles of any triangle will add up to 180°

Therefore, m<FED + m<FDE + m<DEF or in other words 64 + 2x+ m<DFE=180

Next, lets note that there are supplementary angles in this problem which are a set of angles that add to 180°. For example, m<HFC + m<EFH + m<DFE = 180.

With those in mind lets solve:

If we find the m<DFE then we can find the value of x since the interior angles of any triangle add to 180.

to find f we can use supplementary angles.

42°+90°+m<DFE=180

132+m<DFE=180

m<DFE=48°

Therefore,

64+48+2x=180

112+2x=180

2x=68

x=34

To check our answer we can plug in 34 for x and the 3 interior angles of that triangle should add to 180

2(34)+64+48=180?

68+64+48=180?

180=180

x=34 is valid

Step-by-step explanation:

Answer 2

Answer:

x = 34

Step-by-step explanation:

90° + 42° = 132°

180° - 132° = 48°

m∠DFE = 48°

2x + 48 + 64 = 180

2x + 112 = 180

2x = 68

x = 34