Question

What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points)

Answer 1

Answer:

THE REQUIRED ANGLES ARE 40°,50°,115° RESPECTIVELY.

Step-by-step explanation:

angle a =40° {vertically opposite angles}

angle c +65°=180° {angle of a straight line is 180°}

c=180-65

c=115

given one angle is 90° in the triangle

angle a+ angle b+ 90°=180° {sum of angles of triangle is 180°}

40°+ angle b +90°=180°

130° + angle b =180°

angle b =180°-130°

angle b =50°