Answer:
Angle A measures 76°
Step-by-step explanation:
The three interior angles of a triangle will always equal 180. Therefore:
[tex](63)+(x+7)+(2x+8)=180[/tex]
Solve for x. Add and combine like terms:
[tex]78+3x=180[/tex]
Subtract 78 from both sides:
[tex]3x=102[/tex]
Divide both sides by 3. So, the value of x is:
[tex]x=34[/tex]
Angle A is given by:
[tex]m\angle A=2x+8[/tex]
Since we know that x = 38:
[tex]m\angle A=2(34)+8=76[/tex]
Angle A measures 76°
