Answer:
72°
Step-by-step explanation:
Find the image of the question attached
The sum of angle in a triangle is 180°
Hence:
15x+24x+21x = 180°
60x =180
x =180/60
x= 3
Get the largest angle
The largest angle out of the angles is 24x
24x =24(3)
24(3) =72°
Hence the measure of the largest angle is 72°
Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10