If degree measures of the angles of △ABC are represented by 2x, x+10, and 2x−30, then ΔABC must be —
A.obtuse.
b.right.
c.isosceles
d.scalene.
SAME, WHO HAS THIS QUESTION ON THEIR TEST...
Hurry we need the answer or we’re gonna fail
i think a
What’s the anwser!
obtuse
To determine the type of triangle △ABC, we need to analyze the degree measures of its angles.
Given that the degree measures of the angles of △ABC are represented by 2x, x+10, and 2x−30, we can set up an equation to find the value of x.
Since the sum of the degrees in a triangle is always 180°, we can write the equation:
2x + (x+10) + (2x−30) = 180
Simplifying the equation, we get:
5x - 20 = 180
Adding 20 to both sides:
5x = 200
Dividing by 5:
x = 40
Now that we know the value of x, we can substitute it back into the three angle expressions to find their respective measures:
Angle A: 2x = 2(40) = 80°
Angle B: x+10 = 40+10 = 50°
Angle C: 2x−30 = 2(40)−30 = 50°
Looking at the angle measures, we can conclude:
Angle A = 80°
Angle B = 50°
Angle C = 50°
Since none of the angles are 90° (right angle), the triangle △ABC is not a right triangle.
Since angle A is greater than 90° (obtuse angle), the triangle △ABC is not obtuse.
Since two angles (B and C) have the same measure, the triangle △ABC is isosceles.
Therefore, the answer is (c) isosceles.
Please what’s the answer!!!!
D c b
2x+x+10+2x-30 = 180
x = 40
so find the angle measures and see which type fits.