Question

Find angle x in the following figure:
45
O (a) 45°
O (b) 40°
O (c) 35
O (d) 50​

Answer 1

$\bf \huge {\underline {\underline \red{AnSwEr}}}$

⠀⠀⠀

Given :

⠀⠀⠀

• ∠P = 5x

⠀⠀⠀

• ∠R = x

⠀⠀⠀

• ∠Q = 90°

⠀⠀⠀

To Find :

⠀⠀⠀

• Value of x

⠀⠀⠀

Solution :

⠀⠀⠀

In △PQR

⠀⠀⠀

➞ ∠P + ∠R + ∠Q = 180° [ Angle Sum Property ]

⠀⠀⠀

➞ 5x + x + 90° = 180°

⠀⠀⠀

➞ 6x + 90° = 180°

⠀⠀⠀

➞ 6x = 180° - 90°

⠀⠀⠀

➞ 6x = 90°

⠀⠀⠀

➞ x = 90° / 6

⠀⠀⠀

➞ x = 15°

⠀⠀⠀

Hence, value of x is 15°.

Answer 2

$\huge\sf{\pink{\underline{\underline {♡Answer}}}}$

Given :

⠀⠀⠀

• ∠P = 5x

⠀⠀⠀

• ∠R = x

⠀⠀⠀

• ∠Q = 90°

⠀⠀⠀

To Find :

⠀⠀⠀

• Value of x

⠀⠀⠀

Solution :

⠀⠀⠀

In △PQR

⠀⠀⠀

➞ ∠P + ∠R + ∠Q = 180° [ Angle Sum Property ]

⠀⠀⠀

➞ 5x + x + 90° = 180°

⠀⠀⠀

➞ 6x + 90° = 180°

⠀⠀⠀

➞ 6x = 180° - 90°

⠀⠀⠀

➞ 6x = 90°

⠀⠀⠀

➞ x = 90° / 6

⠀⠀⠀

➞ x = 15°

⠀⠀⠀

Hence, value of x is 15°.