Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees
Answer:
$9.50
Step-by-step explanation:
To graph the new shape, you must move each vertex down 3 units. This causes Q to become (1, 0), L to become (5, -2), and Q to become (1, 0). These values can be found by simply counting down by three for each point.
