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Plz Help
2. In the figure, ∠4 is an exterior angle to AUL


(a) Explain why m∠4 is equal to the sum of the measures of the two nonadjacent interior angles.

(b) What is m∠4 ?

Plz Help 2 In the figure 4 is an exterior angle to AULa Explain why m4 is equal to the sum of the measures of the two nonadjacent interior anglesb What is m4 class=

Respuesta :

calculista

Answer:

The answer in the procedure

Step-by-step explanation:

Part A)

we know that

The measures of interior angle in a triangle must be equal to 180 degrees

In the triangle AUL

[tex]m>3+25\°+52\°=180\°[/tex]

[tex]m>3=103\°[/tex]

[tex]m<3+m<4=180\°[/tex] -----> by supplementary angles

[tex]m<4=180\°-m<3[/tex]

[tex]m<4=180\°-103\°=77\°[/tex]

The sum of the two nonadjacent interior angles is equal to

[tex]25\°+52\°=77\°[/tex]

therefore

m<4 is equal to the two nonadjacent interior angles

Part B) [tex]m<4=77\°[/tex] ----> see the Part A)

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