Angles, Lines, and Shapes in SAT Math

The video tutorial covers various geometry problems involving angle calculations in quadrilaterals, complementary angles, linear pairs, triangles, and parallel lines. It explains how to use equations to find unknown angles and highlights key concepts such as interior angles, supplementary angles, and corresponding angles.

What is the total sum of the interior angles of a quadrilateral?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

How do you calculate the value of 'x' from the equation 22x + 30 = 360?

• x = 15

• x = 30

• x = 20

• x = 10

What is the sum of two complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If the ratio of two complementary angles is 7:8, what is the measure of the larger angle?

• 35 degrees

• 40 degrees

• 48 degrees

• 56 degrees

What is the value of angle ABD if it forms a linear pair with angle CBD and their expressions are x^2 - 6 and 8x + 33 respectively?

• 95 degrees

• 85 degrees

• 75 degrees

• 105 degrees

How do you solve the equation x^2 + 8x - 153 = 0 to find possible values for 'x'?

• x = 10 or x = -15

• x = 7 or x = -21

• x = 8 or x = -19

• x = 9 or x = -17

In a triangle, if two angles are 46 and 78 degrees, what is the measure of the third angle?

• 86 degrees

• 76 degrees

• 66 degrees

• 56 degrees

What is the value of 'y' if it forms a linear pair with angle 'z' which measures 56 degrees?

• 144 degrees

• 124 degrees

• 114 degrees

• 134 degrees

What is the value of 'x' if it is the angle in a linear pair with another angle measuring 75 degrees?

• 125 degrees

• 105 degrees

• 95 degrees

• 115 degrees

In a configuration where lines m and k are parallel, what is the measure of an angle that is a corresponding angle to another measuring 65 degrees?

• 95 degrees

• 85 degrees

• 75 degrees

• 65 degrees