Question

problem: report error when the measures of the angles of a triangle are placed in order, the difference between the middle angle and smallest angle is equal to the difference between the middle angle and largest angle. if one of the angles of the triangle has measure $23^\circ$, then what is the measure in degrees of the largest angle of the triangle?

Answer 1

The triangle's biggest angle's measurement in degrees is 97°.

What is a triangle?

• A triangle is a polygon with three vertices and three sides. The angles of such a triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
• All of the angles in an acute triangle are below 90 degrees.
• Any angle in an obtuse triangle is larger than 90 degrees.
• There is just one 90-degree angle in a right triangle.

Let $a+b+c=180$° with $a < b < c$

$c-b=b-a\\c=2b-a | a=180-b-c\\c=2b-(180-b-c)\\c=2b-180+c+c | -c\\0=2b-180+b\\180=3b\\b=\frac{180}{3} \\b=60$

Moving angle c of the triangle,

$c=2b-a | a=23, b=60\\c=2(60)-23\\c=120-23\\c=97$

The triangle's biggest angle's measurement in degrees is 97°.

Learn  more about triangles here:

brainly.com/question/25215131

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