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

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