Question

in the given figure 10.59 to if AC parallel De then find the value of x ​

Answer 1

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• AC AND DE ARE PARALLEL.
• USING ALTERNATE INTERIOR ANGLES ANGLE DCA=55°
• ANGLE DCA + ANGLE BCA = 180°(SUPPLEMENTARY ANGLES)
• ANGLE BCA = 180°-55°
• ANGLE BCA = 125°

Answer 2

Answer:

AC parallel to DE

so, angle CDE = angle C (corresponding angles)

.°. angle C = 55°

angle C + x = 180°(linear pair)

55° + x = 180°

x = 180°–55°

x = 125°

.°. x = 125°

hope it helps you ....