please solve this question
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very tough i can't solve
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1
Answer:
150°
Step-by-step explanation:
let the point at which ac Intersects bd be F
angle bfc + angle bfa is 180° angle bfc is 95° thus angle bfa is 180-95 that is 85°
in triangle baf x+60°+85° = 180°.
thus x= 35°
similarly angle dfc will also equal 85°
we now know 2 angles of triangle dfc that is 30° and 85°. in a triangle sum of angles is always 180° thus angle dfc will be 180-(85+30) that is 180- 115 that is 65° . thus angle dfc is 65°.
now on straight line be angle y + angle z + 65° will equal 180°. thus angle y+ z =180-65 = 115°
therefore y+z is 115° and x= 35°
so we finally get that x+y+z = 115+35= 150°
answer 150°
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