Find the values of a and b. In a quadrilateral a=113 degrees and b=base =36 degrees

I don't understand the question. You want to find a and b, yet you state their values.

To find the values of a and b in the given quadrilateral, we need to make use of the angles in a quadrilateral add up to 360 degrees.

The given information tells us that a = 113 degrees and the base angle, which we will label as b, is 36 degrees.

In a quadrilateral, opposite angles are supplementary, meaning they add up to 180 degrees. Since we know a = 113 degrees, we can find its opposite angle, which we'll label as d, using the formula: d = 180 - a.

Substituting the value of a into the formula, we have: d = 180 - 113 = 67 degrees.

Now let's find the remaining two angles, c and b. Since c and b are adjacent angles (next to each other) and we know that the sum of adjacent angles in a quadrilateral is 180 degrees, we can write the equation: c + b = 180.

Substituting the value of b (the base angle) into the equation, we have: c + 36 = 180.

To find the value of c, we subtract 36 from both sides of the equation: c = 180 - 36 = 144 degrees.

So, the values of a and b in the given quadrilateral are:
a = 113 degrees
b = 36 degrees