MCQ
In two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $5 : 4$, then the smaller of the two angles is:
- A$120^\circ$
- B$60^\circ$
- C$100^\circ$
- ✓$80^\circ$
✓
Answer
Correct option: D.
$80^\circ$
We know that sum of two interior angles on the same side of atransversal intersecting two parallel lines is $180^\circ$
let the common ratio is $x$ so the angles are $5x ,4x$
$So 5x + 4x = 180^\circ$
$9x = 180^\circ$
$\text{x}=\frac{180^\circ}{9}$
$\text{x}=20^\circ$
So the angles are $5x = 100^\circ$
$4x = 80^\circ$
So smallest angle is $80^\circ$
let the common ratio is $x$ so the angles are $5x ,4x$
$So 5x + 4x = 180^\circ$
$9x = 180^\circ$
$\text{x}=\frac{180^\circ}{9}$
$\text{x}=20^\circ$
So the angles are $5x = 100^\circ$
$4x = 80^\circ$
So smallest angle is $80^\circ$
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
Write the correct answer in the following: The class mark of the class $90-120$ is:
→When $0 . \overline{001}$ is expressed in the form p/q, where p and q are integers not having any common factor except 1 then q is equal
→Given that lines $I_1, I_2$ and $I_3$ in figure are parallel. The value of $x$ is:
→In a $\triangle A B C, \angle A=50^{\circ}$ and BC is produced to a point D. If the bisectors of $\angle A B C$ and $\angle A C D$ meet at $E$, then $\angle E=$
→The cost of turfing a triangular field at the rate of $Rs. 45$ per $100m^2$ is Rs. 900. If the double the base of the triangle is $5$ times its height, then its height is:
→The area of a right triangle is $28 cm^2$. If one of its perpendicular sides exceeds the other by 10 cm . then the length of the longest of the perpendicular is
→In figure, if lines l and m are parallel lines, then $x =$
→$(6+\sqrt{27})-(3+\sqrt{3})+(1-2\sqrt{3})$ when simplified is:
→The simplest rationalisation factor of $\big(2\sqrt{2}-\sqrt{3}\big)$ is:
→The length, breadth and height of a cuboid are $15\ cm, 12\ cm$ and $4.5\ cm$ respectively. Its volume is:
→