Given the angles in the trapezoid:
• 36 degrees
,
• 113 degrees
Let's find the values of a and b.
In a trapezoid, the angles on the same side of one transversal are supplementary angles and supplementary angles sum up to 180 degrees.
Hence, we have:
a° + 36° = 180°
b° + 113 = 180°
Now, let's solve for a and b.
a° + 36° = 180°
Subtract 36° from both sides:
a° + 36° - 36° = 180 - 36°
a° = 144°
b° + 113° = 180°
Subtract 113 from both sides:
b° + 113° - 113° = 180° - 113°
b = 67°
Therefore, the values of a and b are:
a = 144
b = 67
ANSWER:
• a = 144
,
• b = 67
