Advertisements
Advertisements
Question
In the given figure, AB is perpendicular to BC at B.
Find:
(i) the value of x.
(ii) the complement of angle x.
Sum
Advertisements
Solution
(i) In the given figure,
AB + BC at B.
∴ ∠ABC = 90°
⇒ x + 20° + 2x + 1° + 7x − 11° = 90°
⇒ 10x + 10° = 90°
⇒ 10x = 90°− 10° = 80°
⇒ x =`(80°)/10` = 8°
Hence x = 8°
(ii) Complement of angle x = 90°− x
= 90°− 8° = 82°
shaalaa.com
Introduction to Lines and Angles
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Define supplementary angles.
State, true or false:
Is 40° the complement of 60°?
State, true or false:
Is 45° the supplement of 45°?
How many rays can be drawn through a fixed point O?
In the given figure, find ∠PQR.
Write the complement of (30 − a)°
Write the supplement of 100°
Write the supplement of x°
Write the supplement of (x + 35)°
Write the supplement of 80° 49′ 25″
