Question

one of the angle of triangle is 74 degree
and the two two angles are equal find the measure of each of the equal angles​

Answer 1

Answer:

53

Step-by-step explanation:

If two angles are equal, we will do =

x+x+74 = 180

2x = 180 - 74

2x = 106

x = 106/2

x = 53

Answer 2

Answer:

53°

Given:

• One of the angle of triangle = 74°

• Other two angles are equal.

To calculate:

• The measure of each of the equal angles.

Calculation:

Let the each of the two equal angles be x°.

As we know that,

⇒ Sum of angles of the triangle = 180°

According to the question,

⇒ First angle + Second angle + Third angle = 360°

⇒ 74° + x° + x° = 180°

⇒ 74° + 2x° = 180°

⇒ 2x° = 180° - 74°

⇒ 2x° = 106°

⇒ x° = 106°/2

⇒ x° = 53°

Hence, the measure of each of the equal angles is 53°.

Verification:

⇒ Sum of angles of the triangle = 180°

LHS :

⇒ Sum of angles of the triangle

⇒ 74° + x° + x°

⇒ 74° + 53° + 53°

⇒180°

RHS:

⇒180°

Hence, verified!

More about triangles!

★ Angle sum property of a triangle :

Sum of interior angles of a triangle = 180°

★ Exterior angle property of a triangle :

Sum of two interior opposite angles = Exterior angle

★ Perimeter of triangle :

Sum of all sides

★ Area of triangle :

$\sf { \dfrac{1}{2} \times Base \times Height }$

★ Area of an equilateral triangle:

$\sf { \dfrac{\sqrt{3}}{4} \times {Side}^{2} }$

★ Area of a triangle when its sides are given :

$\sf { \sqrt{s[ (s-a)(s-b)(s-c) ]} }$

Where,

S= Semi-perimeter or $\sf {\dfrac{a+b+c}{2} }$