Answer:
x = 6
Step-by-step explanation:
Since the sum of the angles of a triangle must add up to 180°, we must establish the following formula:
m < 72° + m < 64° + m < (4x + 20)° = 180°
72° + 64° + 4x° +20° = 180°
Combine like terms:
156° + 4x° = 180°
Subtract 156° from both sides
156° - 156° + 4x = 180° - 156°
4x° = 24°
Divide both sides by 4 to solve for x:
4x°/4 = 24°
x = 6
Double check whether we have the correct value for x by plugging in its value into the equation:
m < 72° + m < 64° + m < (4x + 20)° = 180°
72° + 64° + 4(6)° +20° = 180°
72° + 64° + 24° +20° = 180°
180° = 180° (True statement. Therefore, we have the correct value for x).
Please mark my answers as the Brainliest, if you find this helpful :)
