50 points [geometry] if m∠deg= 5x - 4 m∠gef=7x - 8 m∠deh= 9y + 5 find the values of x and y answer this question and tell me how to do it .

 x=16   and y=11

Step-by-step explanation:

In the given figure , we two lines GH and DF intersecting each other at E.

m∠DEG= 5x - 4 ,  m∠GEF=7x - 8,  m∠DEH= 9y + 5   (1)

Since ∠DEG and ∠GEF lies on line DF.

Then, m∠DEG + m∠GEF=180°            [Linear pair]

      (from (1))

Then, m∠GEF=7x - 8= 7(16)-8=104°       (2)

Also, ∠GEF and ∠DEH are vertical opposite angles.

And measure of vertical angles are equal.

∴  m∠GEF= m∠DEH

Hence, the values of x and y  are 16 and 11 respectively.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5