Q:

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

Accepted Solution

A:
Answer:An obtuse triangle has two angles 45 and 18. The value of the unknown angle is [tex]117^{\circ}[/tex]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 thetaAccording to angle sum property of triangle, sum of three angles of triangle is [tex]180^{\circ}[/tex]This means in our case sum of 45, 18 and θ should be [tex]180^{\circ}[/tex][tex]\begin{array}{l}{=>45+18+\theta=180} \\ {=>\theta=180-63=117^{\circ}}\end{array}[/tex]Hence value of unknown third angle of an obtuse triangle is [tex]117^{\circ}[/tex]