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In triangle ABC, the size of the B is 4 times the size of angle A, and the size of angle C is 14 cel less than 5 times the size of the.

The size of angle a is ____
The size of angle b is____
The size of angle c is________

Respuesta :

MrRoyal

Answer:

[tex]A = 19.4[/tex]

[tex]B = 77.6[/tex]

[tex]C =83[/tex]

Step-by-step explanation:

Given

By interpreting each line, we have:

[tex]B = 4A[/tex]

[tex]C = 5A -14[/tex]

Required

Solve for A, B and C

In a triangle,

[tex]A + B + C = 180[/tex]

Substitute expressions for B and C

[tex]A + 4A + 5A - 14 = 180[/tex]

[tex]A + 4A + 5A = 180+14[/tex]

[tex]10A = 194[/tex]

Solve for A

[tex]A = 194/10[/tex]

[tex]A = 19.4[/tex]

[tex]B = 4A[/tex]

[tex]B = 4 * 19.4[/tex]

[tex]B = 77.6[/tex]

[tex]C = 5A -14[/tex]

[tex]C =5 * 19.4 - 14[/tex]

[tex]C =83[/tex]

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