Question

In the adjoining figure, AC = CD. Find x, y, z, w​

Answer 1

Answer:

....

65°+80°+angle z = 180° (sum of all side of triangle are 180°)

145°+z=180°

z=180°-145°

z=35°..

.

80°+angle x=180 ° (linear pair)

x=180-80

x=100°

angle y + angle d + 100°=180° (sum of all angles of triangle is 180 °)

Now.. we can take angle y and angle d as 2d Or 2y as base angles of isosceles triangle (AC =CD.. given)

..

2y +100 =180°

2y=180°-100

2y=80°

y=80°÷2

y=40

hence angle d and angle y are 40°

d=y=40°

.........

therefore

z=35°

x=100°

y= 40°

......

Hope it will help you buddy

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Answer 2

Answer:

Step-by-step explanation:

65°+80°+angle z = 180° (sum of all side of triangle are 180°)

145°+z=180°

z=180°-145°

z=35°..

.

80°+angle x=180 ° (linear pair)

x=180-80

x=100°

angle y + angle d + 100°=180° (sum of all angles of triangle is 180 °)

Now.. we can take angle y and angle d as 2d Or 2y as base angles of isosceles triangle (AC =CD.. given)

..

2y +100 =180°

2y=180°-100

2y=80°

y=80°÷2

y=40

hence angle d and angle y are 40°

d=y=40°

.........

therefore

z=35°

x=100°

y= 40°

......

Hope it will help you

Mark as brainliest and follow me