The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 45° = 73°

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 27, the value of y° is 153.

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, -3) so the slope becomes:

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(6ab) - (6a²)(3b)
(8 x 6)(a x a x b) - (6 x 3)(a² x b)
(48)(a¹⁺¹ x b) - (18)(a²b)
48a²b - 18a²b
30a²b

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 7 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)