Question

In triangle ABC, angle A is 90 degree angle B is 30 degree. Find ratio of angles, B : C.

Answer 1

Answer:

90/ 30

Step-by-step explanation:

3/ 1 is correct

the rotio is 3: 1

Answer 2

★ How to do :-

Here, we are given with the measurements of two angles of a triangle. Th triangle is named as ABC. In that, ∠A measures 90° and ∠B measures 30°. We should find the ratio of the angles of B and C i.e, B:C. So, first we should find the measurement of ∠C. We know that all the angles of the triangle of measures 180° together. So, we can find the value of ∠C easily. Lafter, we can find the ratio of ∠B and ∠C. So, let's solve!!

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➤ Solution :-

Measurement of ∠C :-

${\tt \leadsto \angle{A} + \angle{B} + \angle{C} = {180}^{\circ}}$

${\tt \leadsto 90 + 30 + \angle{C} = {180}^{\circ}}$

${\tt \leadsto 120 + \angle{C} = {180}^{\circ}}$

${\tt \leadsto \angle{C} = 180 - 120}$

${\tt \leadsto \angle{C} = {60}^{\circ}}$

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Now,

Ratio of ∠B and ∠C :-

${\tt \leadsto B:C}$

${\tt \leadsto 30:60 = \dfrac{30}{60}}$

${\tt \leadsto \cancel \dfrac{30}{60} = \dfrac{1}{2}}$

${\tt \leadsto \dfrac{1}{2} = \boxed{\tt 1:2}}$

$\Huge\therefore$ The ratio of ∠B and ∠C is 1:2.

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More to know :-

• The triangle is a 3-sided, 2-D shape. The triangles are classified into three types. They are :-

1. Equilateral triangle :- The triangle in which all the sides are equal are known as an equilateral triangle.
2. Isocsles triangle :- The triangle in which two sides measure the same and the other one side measure is called a isosceles triangle
3. Scalene triangle :- The triangle in which all the sides measure differently is called a scalene triangle.