The measure of angle A in triangle ABC is 90 degrees.
What is the measure of angle A?
An isosceles triangle is a triangle that has at least two sides of equal length.
Since side AC the same as side AB, this forms an isosceles triangle and angle C is the same as angle B.
Hence;
- Angle A = 4x
- Angle C = 2x
- Angle B = 2x
Note that, the sum of the interior angle of a triangle is 180°
Hence
Angle A + Angle B + Angle C = 180°
4x + 2x + 2x = 180
Solve for x
8x = 180
Divide both sides by 8
8x/8 = 180/8
x = 180/8
x = 22.5
Now, we find measure of angle A.
Angle A = 4x
Plug in x = 22.5
Angle A = 4( 22.5 )
Measure of angle A = 90°
Therefore, the measure of angle A in the isosceles triangle is 90°.
Learn more about of triangles here: https://brainly.com/question/27490624
#SPJ1
