Question

in Triangle ABC, Angle A = 65 degree, B=93 degree. Find Angle C​

Answer 1

Triangles

As per the provided information in the given question, we've been given that In ∆ABC, angle A is 65 degree, angle B is 93 degree. With this information, we've been asked to find out the angle of C. i.e.

• ∠A = 65°
• ∠B = 93°
• ∠C = ?

We know that, The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle. Therefore,

$\rm{\implies \angle A + \angle B + \angle C = 180^\circ}$

$\rm{\implies 65^\circ + 93^\circ + \angle C = 180^\circ}$

$\rm{\implies 158^\circ + \angle C = 180^\circ}$

$\rm{\implies \angle C = 180^\circ - 158^\circ}$

$\rm{\implies \boxed{\bf{\angle C = 22^\circ}}}$

Hence, the angle of C is 22 degree.

$\rule{90mm}{2pt}$

BRAINLY KNOWLEDGE

• A triangle has three sides or edges.

• A triangle has three angles.

• A triangle has three vertices or corners.

• The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.

• The sum of the length of any two sides of a triangle is greater than the length of the third side.

• There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.

• Area of triangle = 1/2 × b × h. Where, b denotes breadth and h denotes height of the triangle.

• Perimeter of triangle = sum of all sides. i.e. P = a + b + c. Where, a, b and c are sides of the triangle respectively.

Answer 2

• $\sf{∠C = 22°}$

Step-by-step explanation:

Given :

• In $\sf{ΔABC, ∠A = 65°}$and
• $\sf{∠B = 93°}$

To find :

• $\sf{∠C = ?}$

We know that,

Sum of all angles of a triangle = $\sf{180°}$

Let, $\sf{∠C}$ be $\sf{x}$

$\sf⟹{∠A + ∠B + ∠C = 180°}$

$\sf⟹{65° + 93° + x = 180°}$

$\sf⟹{158° + x = 180°}$

$\sf⟹{x = 180° - 158°}$

$\sf⟹{x = 22°}$

$\sf{∴ ∠C = 22°}$

• Hence, $\sf{∠C = 22°}$

More about this topic :

✯ Sum of all interior angles of the triangle is always 180°

✯ You can always find the unknown third angle by adding all the angles and equaling it with 180°.

✯ Consider the unknown angle as any variable.

✯ Pythagoras theorem must be used to find the unknown side of a right angled triangle.