Question

the measurement of two angles of a triangle are 62 degree and 65 degree find the measure of third angle​

Answer 1

Answer:

53°

Step-by-step explanation:

The sum of the measures of a triangle is 180°. So

62+65+ measure of third angle =180

therefore measure of third angle is 180-62+65

which is equal to 53°

Answer 2

Given : ↴

$\sf \: The \: measurement \:of\: two \: angles \: of \: a \: triangle \: are \: 62 \degree and \: 65 \degree.$

$\sf \green{To \: find :}$ ↴

$\sf \: We \: have \: to \: find \: the \: measure \: of \: third \: angle.$

$\sf \green{So, \: Let's \: Start \: : }$ ↴

$\sf \: Two \: angles \: of \: Triangle \: = \: 62 \: \degree \: and \: 65 \: \degree$

$\sf \: Let \: the \: third \: angle \: be \: = \: x$

$\sf \: So, \: According \: to \: the \: Property \: of \: the \: \triangle :$

$\sf \longrightarrow \: Side _1 \: + \: Side_2 \: + \: Side_3 \: = \: 180 \degree$

$\sf \longrightarrow \: 62 \: + \: 65 \: + \: x \: = \: 180 \degree$

$\sf \: \longrightarrow \: 127 \: + \: x \: = \: 180 \degree$

$\sf \: \longrightarrow \: x \: = \: 180 \: - \: 127$

$\sf \: \longrightarrow \: x \: = \: 53$

$\sf \: Now, \: the \: third \: side \: is \: 53 \degree.$

$\sf \: So, \: the \: Sides \: of \: the \: \triangle \: are \: 62 \degree , \: 65 \degree \: and \: 53 \degree.$

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Let's verify our answer : ↴

$\sf \longrightarrow \: Side _1 \: + \: Side_2 \: + \: Side_3 \: = \: 180\degree$

$\longrightarrow \sf \: 62\degree \: + \: 65\degree \: + \: 53\degree \: = \: 180\degree$

$\sf \: Hence \: Our \: Answer \: is \: 53\degree$

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$\bf \: Extra \: information \: :$ ↴

A triangle is a simplest form of polygon and it have three sides in it.

$\bf \: Properties \: of \: Triangle \: :$ ↴

(1). A triangle always have three sides, three angles, and three vertices.

(2). The sum of the length of any two sides of a triangle is always greater than the length of the third side. (Angle sum property of a triangle)

(3). The sum of all internal angles of a triangle is always equal to 180°.

4). The side opposite to the largest angle of a triangle is the largest side.

(5). Any exterior angle of the triangle is equal to the sum of its interior opposite angles. (Exterior angle property of a triangle)