0 like 0 dislike
In a triangle, the measures of two of its interior angles are 72° and 81°.
What is the measure of the third interior angle?​

0 like 0 dislike
27°

Step-by-Step Explanation:

Let the unknown angle be ‘x’

According to Angle Sum Property of a Triangle, we know that the sum of all interior angles of a triangle will be 180°.

1st Angle = 72°
2nd Angle = 81°
3rd Angle = x°

Therefore,
x + 72 + 81 = 180
x + 72 = 180 - 81
x + 72 = 99
x = 99 - 72
=> x = 27

Hence, 3rd Angle = 27°
by
0 like 0 dislike
hi  user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

$$\huge{ \rm{}}$$

$$\implies \boxed{\underline{\huge{\tt{\orange{\: \: x = 27^0 \: \: }}}}}$$

Step-by-step explanation:

The third angle is equal to 27⁰.

The sum From interior angles on one triangle it's the same as 180⁰.

Calling the third angle "x" we have:

$$\begin{gathered}x + 72^0 + 81^0 = 180^0\\\\x + 153^0 = 180^0\\\\x = 180^0 - 153^0\\\\x = 27^0\\\\\end{gathered}$$
by