Question

find the value of x in this figure​

Answer 1

Hey there!

Answer:

x = 20°

Step-by-step explanation:

∠ABD + ∠DBC = 180  ( angle on straight line)

100 + ∠DBC = 180

∠DBC = 180 - 100

∠DBC = 80°

Now,

In ΔBDC,

∠BDC + ∠DBC = ∠DCZ  ( exterior angle = sum on opp. interior angles)

3x + 80 = 7x

3x - 7x = - 80

-4x = - 80

4x = 80

x = 80/4

x = 20.

Hence, x = 20°

Answer 2

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Given

• ∠PCD = 100°

• ∠BPC = 3x°

• ∠PBA = 7x°

To Calculate

• Value of x

Solution

➞ ∠PCD + ∠PCB = 180° [ Linear Pair ]

➞ 100° + ∠PCB = 180°

➞ ∠PCB = 180° - 100°

➞ ∠PCB = 80°

⠀⠀⠀⠀⠀⠀

Now,

➞ ∠PCB + ∠BPC = ∠PBA

➞ 80° + 3x° = 7x°

➞ 80° = 7x - 3x

➞ 80° = 4x

➞ 4x = 80°

➞ x = 80/ 4

➞x = 20°

Therefore, value of x is 20°.