IDNLearn.com connects you with a global community of knowledgeable individuals. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

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]