MCQ
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $2 : 3$ which is the smallest of the two angles$?$
- ✓$72^\circ $
- B$108^\circ$
- C$54^\circ$
- D$36^\circ$
✓
Answer
Correct option: A.
$72^\circ $
Let the angles be $2x$ and $3x$
Now sum of interior angles on same side of transversal intersecting two parallel lines is $180^\circ $
$\Rightarrow 2x + 3x = 180^\circ $
$\Rightarrow 5x = 180^\circ $
$\Rightarrow x = 36^\circ $
So the angles are $2x = 2 \times 36^\circ = 72^\circ $
$3x = 3 \times 36^\circ = 108^\circ $
So the smaller angle is $72^\circ .$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
To convert a fraction into percent, we _____ it by $100.$
→The number of triangular faces of a triangular prism is _______.
Mark against the correct answer in the following:
If $4.5\ m$ of a uniform rod weighs $17.1\ kg$, what is the weight of $12m$ of such a rod?
→If $4.5\ m$ of a uniform rod weighs $17.1\ kg$, what is the weight of $12m$ of such a rod?
Each diagonal of a square is $14\ cm.$ Its area is:
→$5.2$ is equal to:
→Which of the following statements is true?
Find the value of $x$ in given figure.
→If the ratio of the areas of two squares is 9: 1, then the ratio of their perimeters is
Cuboid is an example of:
The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long, the length of the other side is