a By the Triangle Angle Sum Theorem, we know that a triangle's angle measures sum to 180^(∘). Also, any angle that has been marked with a square indicates that it is a right angle. With this, we can write an equation.
x+79^(∘)+90^(∘)=180^(∘)
By solving the equation, we can determine the value of x.
In addition to the right angle, the angle labeled x is 30^(∘). With this, we can also find the angle labeled 2x.
2( 30^(∘))=60^(∘)
This makes the three angle measures 90^(∘), 60^(∘), and 30^(∘).
d Like in the previous parts, we can equate the sum of the three angle measures with 180^(∘).
x+22^(∘)+90^(∘)=180^(∘)
By solving the equation, we can determine the value of x and the triangle's angles.
