Question

Construct an isosceles $△XYZ,$ where $YZ=5$ units and $\angle XYZ={35}^o$. Also, find the measure of $\angle YXZ$.

• A. ${35}^o$
• B. ${70}^o$
• C. ${110}^o$
• D. ${140}^o$

Answer 1

Answer: (C)

${110}^o$

$YZ=5$ CM $,\angle XYZ={35}^{\circ }$

As the triangle is isosceles therefore $\angle XZY={50}^{\circ }$

Steps of construction:

1. Draw a line segment $XY=5$ cm.

2. At $Y$ draw an angle of ${35}^{\circ }$ and extend the arm.

3. At $Z$ draw an angle of ${35}^{\circ }$ and extend the ray such that it intersect the previous ray at $X$

4. Join $Y$ to $X$ and $Z$ to $X$

Now measure $\angle YXZ$

$\angle YXZ={110}^{\circ }$