I don’t know how to do these questions so help plz

Mathematics

2 answers:

mars1129 [50]2 years ago

5 0

Answer:

the anser is no.b that is 30°

ryzh [129]2 years ago

3 0

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

$3x+2x+30=180$

Combining like terms, we get:

$5x+30=180$

Isolating x, we get:

$5x=150$

Dividing both sides by 5, we get:

$x=30$

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

$3x=3(30)=90$