Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below. try this video for extra example 3 – real - life application. 3) the veins in a leaf form a pair of supplementary angles. find the measures of the angles when $m\angle1=(7x + 13)^{circ}$ and $m\angle2=(25x + 7)^{circ}$.

Explanation:

Step1: Set sum to 180° (supplementary)

$$(7x + 13) + (25x + 7) = 180$$

Step2: Simplify left side

$$32x + 20 = 180$$

Step3: Isolate 32x

$$32x = 180 - 20$$
$$32x = 160$$

Step4: Solve for x

$$x = \frac{160}{32}$$
$$x = 5$$

Step5: Calculate $m\angle1$

$$m\angle1 = 7(5) + 13 = 35 + 13 = 48$$

Step6: Calculate $m\angle2$

$$m\angle2 = 25(5) + 7 = 125 + 7 = 132$$

Answer:

$m\angle1 = 48^\circ$, $m\angle2 = 132^\circ$