If the supplement of an angle is three times its complement, then angle is:
Let the ∠x be the required angle
Thus, according to the question
180−x=3(90−x)
=>180−x=270−3x
=>2x=90
=>x=45
Which of the following is true?
(i) A triangle can have two right angles.
(ii) A triangle can have all angles less than 60°.
(iii) A triangle can have two acute angles.
The angle between the bisectors of two adjacent supplementary angles is :
Which of the following is true?
(i) A triangle can have two obtuse angles.
(ii) A triangle can have all angles equal to 60°.
(iii) A triangle can have all angles more than 60°.
If two parallel lines are cut by a transversal, then the pairs of ___________ angles are congruent.
If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
If two angles are complementary of each other, then each angle is :
X lies in the interior of ∠BAC. If ∠BAC = 70° and ∠BAX = 42° then ∠XAC =?
Which of the following statements is false?
The correct option is Option B.
Infinite number of lines can pass through one point.
An angle is 14° more than its complementary angle, then angle is :
Let the angle be x
Then the complement angle will be 90∘ −x
Given x is 14∘ more than 90∘ −x
⟹ x = 14∘ + 90∘ −x
⟹ 2x = 104∘
⟹ x = 52∘
The measure of the angle is 52∘
In the given figure, straight lines PQ and RS intersect at O. If the magnitude of θ is 3 times that of ψ, then (∠φ) is equal to :
Two parallel lines have:
How many degrees are there in an angle which equals one-fifth of its supplement?
Two angles whose measures are a & b are such that 2a - 3b = 60° then 5b = ?, if they form a linear pair:
If two parallel lines are intersected by a transversal then the bisectors of the interior angles form a :
If one angle of triangle is equal to the sum of the other two angles then triangle is :
If the arms of one angle are respectively parallel to the arms of another angle, then the two angles are :
Which one of the following is not correct?
If l is any given line and P is any point not lying on l, then the number of parallel lines that can be drawn through P, parallel to l would be :
Draw a line l and a point P not lying on l.
Now, we can draw a straight line parallel to l which passes through P.
Clearly from the figure, only one line can be drawn which is parallel to l and passes through P.
Which one of the following statements is not false?
There are four lines in a plane no two of which are parallel. The maximum number of points in which they can intersect is :
An exterior angle of a triangle is 80° and two interior opposite angles are equal. Measure of each of these angles is :
The angle which is equal to 8 times its complement is :
If two supplementary angles are in the4 ratio 2 : 7, then the angles are :
In the given figure, the value of x which makes POQ a straight line is :
For POQ=straight line →∠ POQ=180o
2x+30+4x=180
6x+30=180
6x=150
x=25o.
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the largest of two angles is :
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