Answer

Verified

403.5k+ views

**Hint:**To solve this question we have to apply the concept that as $AB = AC$, therefore their angles must be equal, that is, $\angle B = \angle C$.

**Complete step by step answer:**

It is given in the question that in triangle \[ABC\],$\angle A = 110_{}^\circ$ and since it is a triangle, so the sum of the angles of the triangle is $180_{}^\circ$.

Therefore by deducting the value of $\angle A = 110_{}^\circ$from the sum of three angles of a triangle that is $180_{}^\circ$ we get

$\Rightarrow \angle A + \angle B + \angle C = 180_{}^\circ$

$\Rightarrow 110_{}^\circ + \angle B + \angle C = 180_{}^\circ$

By deducting $110_{}^\circ$ from $180_{}^\circ$ we get-

$\Rightarrow \angle B + \angle C = 180_{}^\circ - 110_{}^\circ$

$\Rightarrow \angle B + \angle C = 70_{}^\circ$

Now since $AB = AC$ so they will have equal angles which means $\angle B = \angle C$.

Therefore we can write-

$\Rightarrow \angle B + \angle B = 70_{}^\circ$

$\Rightarrow 2\angle B = 70_{}^\circ$

On dividing $2$ on both side we get

$\Rightarrow \angle B = 35_{}^\circ$

Since $\angle B = 35_{}^\circ$ therefore we can write that $\angle C = 35_{}^\circ$

**Thus the required values of $\angle B$ and $\angle C$ is $35_{}^\circ$.**

**Note:**

- A triangle is a polygon that has three sides, three vertices, and three edges.

- The sum of the angles of the triangle is $180_{}^\circ$

- There are three types of triangles on the basis of their sides that is the scalene triangle, the isosceles triangle, and the equilateral triangle. On the basis of their angle, there are three types of triangles that are acute-angled triangle, obtuse-angled triangle, and right-angled triangle.

- The sum of its three sides is the perimeter of a triangle.

- The exterior angle of a triangle is always equal to the sum of the interior angles of a triangle.

- The sum of two sides of a triangle is always more than the other remaining side.

- The area of a triangle is always equal to half of the product of base and height.

- The perimeter of a triangle is always twice the semi-perimeter of the triangle.

Recently Updated Pages

Identify the type of clause underlined in the sentence class 8 english CBSE

Which statement describes the density of the inner class 8 social science CBSE

Babur considered which ruler of Gujarat as among the class 8 social science CBSE

Which island groups were affected by the Tsunami in class 8 social science CBSE

Which is the administrative system that works under class 8 social science CBSE

The year in which the state was named as Karnataka class 8 social science CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail

Name 10 Living and Non living things class 9 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths