Question

Q.Two adjacent angles of a parallelogram are x+10 and 4x-10. Find the value of x.
(b) 0
(c) 72
(d)18
(a) 36
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Answer 1

✯Question:

• Two adjacent angles of a parallelogram are (x+10)° and (4x-10)°. Find the value of x.

✯Given:

• Adjacent angles - x+10° , 4x-10°

✯To find:

• Value of x

✯Property of parallelogram used:

• Adjacent angles are supplementary ( equal to 180° )

✯Solution:

• (x+10)° + (4x-10)° = 180°
• x + 10 + 4x - 10 = 180°
• 5x = 180°
• x = ¹⁸⁰⁄₅°
• ∴x = 36°

✯The value of x is:

• 36°

✯Extra Information:

• We can find the adjacent angles by substituting the value of x
• (x+10)° = 36+10 = 46°
• (4x-10)° = 4(36)-10
• 144 - 10 = 134°

✯Verification:

• Adjacent angles are supplementary
• (x+10)° + (4x+10)° = 180°
• 46° + 134° = 180°
• 180° = 180°

✯The adjacent angles are 46° and 134°

Answer 2

Answer:

Step-by-step explanation:

(x+10)° + (4x-10)° = 180°

x + 10 + 4x - 10 = 180°

5x = 180°

x = ¹⁸⁰⁄₅°

∴x = 36°

✯The value of x is:

36°

✯Extra Information:

We can find the adjacent angles by substituting the value of x

(x+10)° = 36+10 = 46°

(4x-10)° = 4(36)-10

144 - 10 = 134°

✯Verification:

Adjacent angles are supplementary

(x+10)° + (4x+10)° = 180°

46° + 134° = 180°

180° = 180°