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Transversals and Triangle angles, solve for x

Transversals And Triangle Angles Solve For X class=

Sagot :

Answer:

x = -11°

Explanation:

The triangle given is right angle triangle which has 90°

The total interior angle of a triangle is 180°

Solve:

x + 31° + 90° + 70° = 180°

x + 191° = 180°

x = 180° - 191°

x = -11°

Therefore, the value of x is - 11 degrees.

Apply angle sum property

[tex]\\ \rm\hookrightarrow x+31+70+90=180[/tex]

[tex]\\ \rm\hookrightarrow x+101=90[/tex]

[tex]\\ \rm\hookrightarrow x=90-101[/tex]

[tex]\\ \rm\hookrightarrow x=-11[/tex]