What are the measures of angles a,b, and c? Show your work and explain your answers.

Mathematics

2 answers:

Virty [35]3 years ago

8 0

Answer:

c is 110 degrees

b is 70 degrees

a is 20 degrees

Step-by-step explanation:

for c, 180-70=110

for b, 180- angle c=180-110=70

for a, 180-90-angle b=180-90-70=20

lesantik [10]3 years ago

6 0

Answer:

a = 35°

b = 55°

c = 110°

Step-by-step explanation:

Vertically opposite angles are equal.

a = 35° [Vertically opposite angles]

Sum of all angles of a triangle is 180°.

a + b + 90° = 180° [Angles of a triangle]

=> 35° + b + 90° = 180°

=> 35° + b = 180° - 90°

=> 35° + b = 90°

=> b = 90° - 35°

=> b = 55°

Linear pair of angles are supplementary.

c + 70° = 180° [Linear pair of angles]

=> c = 180° - 70°

=> c = 110°

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