Seudónimo Seudónimo
  • 23-05-2021
  • Mathematics
contestada

A and B are supplementary angles. If m A = (x + 15)° and m
ZB = (x – 13), then find the measure of ZB.

Respuesta :

blooregardqkazoo1138 blooregardqkazoo1138
  • 23-05-2021

Answer:

76 degrees

Step-by-step explanation:

We know that supplementary angles equal 180 degrees. So, set up the equations:

[tex]180=(x+15)+(x-13)\\[/tex]

[tex]180=(2x+2)\\[/tex]

[tex]178=2x[/tex]

[tex]x=89\\[/tex]

Then, you just plug 89 back into ZB, and simplify:

[tex](89-13)\\[/tex]

[tex]=76[/tex]

So, the measurement of angle ZB is 76 degrees.

Answer Link

Otras preguntas

Numerical age is the age of a rock or geological feature in years. a. true b. false
Joan can mow a 6 acre field in 2 hr. How long would it take her to mow a 3 acre field
What evidence exists that makes Aye seem guilty?
What is the ratio of people with mayan heredity in guatemala?
In united states history the cabinet and congressional committees developed as a result of
Each year in the United States approximately how many people get sick from food borne illnesses
Who had more power under the articles of conferderation, the national government or state government?and explain why
Which of these molecular electron configurations describe an excited state?
Assume that the comet has a total mass of 4.2×1012 kilograms. what is its total kinetic energy? (hint: the kinetic energy is equal to 12mv2, where m is the come
Employee c is Paid an hourly rate of 13.25 per hour and works 2080 hours per year. The employee was just promoted and received a 15% raise. What is the employee