R K Bansal Solutions for Chapter: Triangles, Exercise 2: EXERCISE 15(B)

Apply the properties of isosceles and equilateral triangles to find unknown angles to the given figures:

In the given figure, $\text{BI}$ is the bisector of $\angle ABC$ and $\text{CI}$ is the bisector of $\angle ACB$. Find $\angle \text{BIC.}$

In the given figure, express $a$ in terms of $b.$

In figure (i) $BP$ bisects $\angle ABC$ and $AB=AC$. Find $x.$

Find $x$ in figure (ii),

Given: $DA=DB=DC$ bisects $\angle ABC$ and $\angle ADB=70°.$

In each figure given below, $\text{ABCD}$ is a square and $△\text{BEC}$ is an equilateral triangle. 

Find $\left(i\right)\angle \text{ABE} \text{ and ∠BAE}$.

In each figure given below, $\text{ABCD}$ is a square and $△\text{BEC}$ is an equilateral triangle. 

Find $\text{(i)}\angle \text{ABE} \text{ and ∠BAE}$.

In $△ABC,$ $\text{BA} \text{and BC}$ are produced. Find the angles $a \text{and} b$,if $\text{AB=AC}.$