The measures of the angles of a triangle are shown in the figure below. Solve for x.
51
Answer: x=
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attempt 1 out of 2

The measures of the angles of a triangle are shown in the figure below Solve for x 51 Answer x Submit Answer attempt 1 out of 2 class=

Respuesta :

Answer:

x = 39°

Step-by-step explanation:

The triangle shown is a right angle triangle having angles 90°, 51° and x°.

Sum of interior angles of a triangle = 180°, therefore:

[tex] 90 + 51 + x = 180 [/tex]

Add like terms

[tex] 141 + x = 180 [/tex]

Subtract 141 from each side

[tex] 141 + x - 141 = 180 - 141 [/tex]

[tex] x = 39 [/tex]

x = 39°