Step-by-step explanation:
[tex]\sf\pink{Given}[/tex]
[tex]\sf\pink{To\: Find}[/tex]
Explanation :
Rule :
- Sum of all angles of a triangle is 180°
Therefore ,
[tex]\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }[/tex]
[tex]\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }[/tex]
[tex]\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }[/tex]
[tex]\longrightarrow\bf{6x + 30 = 180 }[/tex]
[tex]\longrightarrow\bf{6x = 180 - 30 }[/tex]
[tex]\longrightarrow\bf{6x = 150 }[/tex]
[tex]\longrightarrow\bf{x = \dfrac{150}{6}}[/tex]
[tex]\longrightarrow\bf\pink{x = 25}[/tex]
Therefore value of x is 25 .
Now, finding the the measure of each angle by putting the value of "x" in their places.
∠A = (x + 10)° => (25 + 10)° => 35°
∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°
∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°
