In the figure below, YZ and MB intersect at O and XO is perpendicular to YZ.

What is the value of 3p + 4s - 2t ?

What is the value of 3p + 4s - 2t ?

The measure of ∠s = 35°, because it is a vertical angle with 35°

The measure of ∠p = 55°, because it and ∠s add up to 90°

The measure of ∠t = 145°, because it and the 35° angle add up to 180°

s = 35, p = 55, t = 145

3p + 4s - 2t

= 3(55) + 4(35) - 2(145) {substituted}

= 165 + 140 - 290 {multiplied}

= 15 {added and subtracted}

The measure of ∠p = 55°, because it and ∠s add up to 90°

The measure of ∠t = 145°, because it and the 35° angle add up to 180°

s = 35, p = 55, t = 145

3p + 4s - 2t

= 3(55) + 4(35) - 2(145) {substituted}

= 165 + 140 - 290 {multiplied}

= 15 {added and subtracted}

**A.) 15°***Ask Algebra House*