Hey ! there
Answer:
Step-by-step explanation:
In this question we are provided with a triangle having three angles aa x + 52° , 75° and 60°.
And we are asked to solve for x that means we have to find the value of x .
Solution : -
For finding the value of x we should have knowledge of Angle Sum Property that means sum of all interior angles of triangle is equal to 180° . So adding all the given angles and equating it with 180° .
[tex] \longmapsto \qquad \: x + 52 {}^{ \circ} + 75 {}^{ \circ} + 60{}^{ \circ} = 180{}^{ \circ} \: [/tex]
Now , simplifying it ,
[tex] \longmapsto \qquad \: x + 52{}^{ \circ} + 135{}^{ \circ} = 180[/tex]
[tex] \longmapsto \qquad \: x + 187{}^{ \circ} = 180{}^{ \circ}[/tex]
Subtracting 187 on both sides :
[tex] \longmapsto \qquad \:x + \cancel{187} {}^{ \circ} - \cancel{187} = 180 - 187[/tex]
We get ,
[tex] \longmapsto \qquad \: \pink{\underline{\boxed{\frak{ x = - 7{}^{ \circ}}}}} \quad \bigstar[/tex]
- Henceforth , value of x is -7° .
#Keep Learning
