Zahra plans to draw a triangle with angles measuring 50 , 60 , and 70 . Which is true about Zahra's plan? Zahra cannot make a triangle with these angle measures. Zahra can only draw one unique triangle with these angle measures. Zahra can make exactly two triangles with these angle measures. Zahra can make more than one triangle with these angle measures.

Zahra can make more than one triangle with these angle measures.

Step-by-step explanation:

Let's analyse each of the statements:

1 - "Zahra cannot make a triangle with these angle measures"

The sum of the internal angles of a triangle must be 180 degrees. The angles she chose are 50, 60 and 70, and the sum is 50+60+70 = 180.

So the statement is FALSE

2 - "Zahra can only draw one unique triangle with these angle measures"

FALSE.

If the angle requirements are met, she can draw an infinite number of triangles with that angles, changing only the length of the sizes.

3 - "Zahra can make exactly two triangles with these angle measures.".

FALSE.

The argument is the same as in item 2.

4 - "Zahra can make more than one triangle with these angle measures."

TRUE. The argument is the same as in item 2.

m∠a is 90°

m∠b is 40°

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus