Question

Answer the following:

i. Identify three triangles in the figure.
ii. Write the names of seven angles.
Which two triangles have ∠B as common?

Answer 1

Solution:
i. A triangle is a closed figure made up of three line segments.
Following are the 3 triangles in the given figure: $\Delta ABD,\Delta ACD,\Delta ABC$.

ii. An angle is formed at the intersection of two line segments.
Following are the 7 angles:
$\angle ABC,\angle ADB,\angle ADC,\angle ACB,\angle BAC,\angle BAD,\angle CAD$

iii. Angle is formed at each vertex of the triangle. B is the vertex of$\Delta ABDand\Delta ABC$.
So, $\angle B$ is common in $\Delta ABDand\Delta ABC$.