Question
In Figure, state which lines are parallel and why?
✓
Answer
Let, F be the point of intersection of the line CD and the line passing through point E.
Here, $\angle \text{ACD}$ and $\angle \text{CDE}$ are alternate and equal angles.
So, $\angle \text{ACD}=\angle \text{CDE}=100^\circ$
Therefore, $\text{AC}||\text{EF}$
Here, $\angle \text{ACD}$ and $\angle \text{CDE}$ are alternate and equal angles.
So, $\angle \text{ACD}=\angle \text{CDE}=100^\circ$
Therefore, $\text{AC}||\text{EF}$
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
Find the fourth proportional to the number:
2, 8, 14, 3.5
2, 8, 14, 3.5
Simplify:$5\frac{4}{7}\div1\frac{3}{10}$
→Find the height of a triangle region having an area of $224 m^2$ and base 28 m .
→In the following pair of triangle (Fig.), the lengths of the sides are indicated along sides. By applying SSS condition, determine which are congruent. State the result in symbolic form.
Express $\frac{4}{7}$ as a rational number with denominator 21
→Find the area of a circle whose radius is:
21cm.
21cm.
Simplify and express each as a rational number:
$\Big(\frac{4}{9}\Big)^6\times\Big(\frac{4}{9}\Big)^{-4}$
→$\Big(\frac{4}{9}\Big)^6\times\Big(\frac{4}{9}\Big)^{-4}$
In Figure, AOC is a line, find x.
Express the following ratios in the simplest form:
8 months : 1 year
8 months : 1 year
Prepare a frequency table of the following ages (in years) of 30 students of class VIII in your school:13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14
13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14
13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14