lesliegl lesliegl
  • 20-07-2018
  • Mathematics
contestada

Find the value of x AND find the measure of each angle. (Make use of supplementary angles!)

Find the value of x AND find the measure of each angle Make use of supplementary angles class=

Respuesta :

mbh292
mbh292 mbh292
  • 20-07-2018
The angles shown are supplementary, it means when we add them together, they add up to 180°:
[tex](5x + 3) + (x - 3) = 180[/tex]
Add like terms:
[tex]6x = 180 [/tex]
Divide both sides by 6 in order to isolate x:
[tex]x = 30[/tex]
The exterior angle is:
[tex]x - 3 = 30 - 3 = 27[/tex]
The interior angle is:
[tex]5x + 3 = 5 \times 30 + 3 = 150 + 3 = 153[/tex]
or[tex]180 - 27 = 153[/tex]

Answer Link

Otras preguntas

The mean of a normal probability distribution is 500; the standard deviation is 10. a. about 68 percent of the observations lie between what two values?
A set of four 15.0-mL solutions—each in a similar open dish—was left at room temperature, and the amount that remained was recorded after every hour. Which of t
The u.s. supreme court has no power to decide the constitutionality of the law. a. True b. False
1km = 1000 m 95623 m = ? Km
match the vocabulary word with the correct synonym.1. Conferred. ¤ Shouted2. Incited. ¤ Gave3. Surmounted. ¤ Urged4. Clamour
Which term matches this definition? Devices that isolate or remove the bloodborne pathogens hazard from the workplace A. Exposure Control Plan B. Engineering Co
Stratified squamous epithelial tissue is located in the linings of the
How many significant digits are in the following measurement? 25.30 km
I need help on how to make the PERFECT essay (only give real, long answers please).
A large quantity and large variety of products are produced in