Triangles are always 180°, so you can do this:
∠A+∠B+∠C = 180°
And you can plug in the angles that you have.
x + 75° + 50° = 180°
Then you get x by itself to find the measure of angle A.
x = 55°
Answer:
The measure of angle A =x=[tex]55^{\circ}[/tex].
Step-by-step explanation:
Given a triangle ABC
Measure of angle A=x
Measure of angle B=[tex]m\angle B= 75^{\circ}[/tex]
Measure of angle C=[tex]m\angle C= 50^{\circ}[/tex]
We know that angle sum property of triangle
[tex]m\angle A+ m\angle B+ m\angle C=180^{\circ}[/tex]
By using this property and substitute the value of given angles
[tex]75+50+x=180[/tex]
By addition property we get
[tex]125+ x=180[/tex]
[tex]x=180-125[/tex]
By subtraction property of equality
Now, we get
[tex]x=55^{\circ}[/tex]
Hence, the measure of angle A is x=[tex]55^{\circ}[/tex].
