Incineroar
Incineroar Incineroar
  • 14-02-2017
  • Mathematics
contestada

In the figure, m∠1=m∠2 = 22 and m∠3 = m∠4 = 123. Find m∠TSK.

Choices:
33
35
45
22

In the figure m1m2 22 and m3 m4 123 Find mTSK Choices 33 35 45 22 class=

Respuesta :

cadenfeazel cadenfeazel
  • 25-09-2018

35 because the two angles are added 22 and 123 = 145. 145-180=35

Answer Link
calculista
calculista calculista
  • 01-02-2019

Answer:

[tex]m<TSK=35\°[/tex]

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to [tex]180[/tex] degrees

so

In the triangle STK

[tex]m<1+m<3+m<TSK=180\°[/tex]

we have

[tex]m<1=22\°[/tex]

[tex]m<3=123\°[/tex]

substitute and solve for m<TSK

[tex]22\°+123\°+m<TSK=180\°[/tex]

[tex]m<TSK=180\°-(22\°+123\°)=35\°[/tex]

Answer Link

Otras preguntas

(05.01) Which statement best describes the area of the triangle shown below?​
h over 7.5 = 3.2, h = ???
(30pts urgent) What did Thomas Jefferson base his arguments for the Declaration of Independence on, and how do they differ from other rights?
how many centermetres are there in a metre
What is the purpose of the Federal Deposit Insurance Corporation? A. To print money B. To control monetary policy C. To loan money to individuals D. To insure b
Arrange the numbers below from least to greatest. 0.113. 8.9% 5/16 0.03 3/10
anna can celarn her house 3 hours while dalia 4 hours. How long will it take when they clean together
The carbon dioxide molecules that bind to the hemoglobin molecule are attached to the __________ units.
What are the three common root word endings of singular indefinite pronouns?
In the diagram, NP = 8 inches, and LR= 20 inches. What is the diameter of the bottom layer of the cake?