The measures of two angles of a triangle are 72 deg- and 58 deg- Find the measure of the third angle-

The measures of two angles of a triangle are 72 deg; and 58 deg;. nbsp; Let the third angle be x. nbsp; Now, the sum of the measures of all the angles o ...

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Standard VI

Mathematics

Angle Sum Property of Triangle

The measures ...

Question

The measures of two angles of a triangle are 72° and 58°. Find the measure of the third angle.

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Solution

The measures of two angles of a triangle are 72° and 58°.
Let the third angle be x.
Now, the sum of the measures of all the angles of a triangle is 180^o.
$∴$ x + 72^o+ 58^o = 180^o
⇒ x + 130^o= 180^o
⇒ x = 180^o $-$ 130^o
⇒ x = 50^o
The measure of the third angle of the triangle is 50^o.

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The measures of two angles of a triangle are 72° and 58°. Find the measure of the third angle.

The measures of two angles of a triangle are 72° and 58°. Let the third angle be x. Now, the sum of the measures of all the angles of a triangle is 180o​. ∴ x + 72o + 58o = 180o ⇒ x + 130o = 180o ⇒ x = 180o​ - 130o ⇒ x = 50o ​The measure of the third angle of the triangle is 50o​.

The measures of two angles of a triangle are 72° and 58°.
Let the third angle be x.
Now, the sum of the measures of all the angles of a triangle is 180^o.
$∴$ x + 72^o+ 58^o = 180^o
⇒ x + 130^o= 180^o
⇒ x = 180^o $-$ 130^o
⇒ x = 50^o
The measure of the third angle of the triangle is 50^o.