Question

An obtuse triangle has two angles 45 n 18 ,and a third unknown angle theta what's the value of the unknown angle​

Answer 1

An obtuse triangle has two angles 45 and 18. The value of the unknown angle is
`117^(\circ)`

Solution:

Given that two angles of an obtuse triangle is 45 and 18.

Third angle is θ

We are asked to find the value of third unknown angle theta

According to angle sum property of triangle, sum of three angles of triangle is
`180^(\circ)`

This means in our case sum of 45, 18 and θ should be
`180^(\circ)`

`\begin{array}{l}{=>45+18+\theta=180} \\ {=>\theta=180-63=117^(\circ)}\end{array}`

Hence value of unknown third angle of an obtuse triangle is
`117^(\circ)`