Advertisements
Advertisements
Question
The measure of an angle is twice the measure of its supplementary ang Find its measure.
Solution
Given that
The angle measure of an angle is twice of the measure of the supplementary angle.
Let the angle measured will be ‘x’ say
∴The supplementary angle of x is 180 - x as per question
x° = 2 (180 - x)°
x° = 2 (180°) - 2x°
⇒ 3x° = 360°
⇒ x° = 120°
∴ The angle measured is 120°.
APPEARS IN
RELATED QUESTIONS
Write the complement of the following angles .
30°
If the supplement of an angle is two-third of itself. Determine the angle and its supplement.
In the below fig, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.
In Fig. 8.42, a is greater than b by one third of a right-angle. Find the values of a and b.
What value of y would make AOB a line in below fig, if ∠AOC = 4y and ∠BOC = (6y +
30)
In below fig, OP, OQ, OR and OS arc four rays. Prove that:
∠POQ + ∠QOR + ∠SOR + ∠POS = 360°
In the given fig, find the values of x, y and z.
statement are true and false
Angles forming a linear pair can both the acute angles.
In the below fig, `∠`1 = 60° and `∠`2 = `(2/3)^(rd)`of a right angle. Prove that l || m.
In the given figure, if AB || HF and DE || FG, then the measure of ∠FDE is
