Mathematics
Grade9
Easy
Question
The measure of is ______.
- 500
- 600
- 900
- 1200
Hint:
In this question, we have to find the , if GI and JH are parallel with transversal GH. as IGH and CHE are alternate interior angles and so they are equal . Later as in CHE, we have the value of two angles, so, we an easily find the value of third angle. Further, as CEH and care vertically opposite angles so there values will be equal. So, using this process we can easily get the required value of JEF .
The correct answer is: 500
As GI and JH are parallel with transversal GH,
IGH = CHE = 40 (alternate interior angles)
In CHE,
HCE + CEH + CHE = 180
90 + CEH + 40 = 180
CEH = 180 - 130
CEH = 50
As CEH and JEF are vertically opposite angles
so, JEF = 50
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