Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
1 answer:
The measure of angle ∠ACB is 70°. Then the correct option is C.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
∠ABC + ∠BCA + ∠CAB = 180°
60° + ∠BCA + 50° = 180°
∠BCA = 180° – 110°
∠BCA = 70°
Then the correct option is C.
The complete question is given below.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of ABC is 60
The measure of BAC is 50
The measure of ACB will be
a. 50
b. 60
c. 70
d. 120
More about the triangle link is given below.
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Answer:
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°
Step-by-step explanation:
Let
x -----> the measure of angle A
y ----> the measure of angle B
z ----> the measure of angle C
we have
Observing the ratio
The smallest angle is x and the greatest angle is y
In a right triangle, the measure of the right angle is the greatest angle and the sum of the other two angles is equal to 90 degrees, because are complementary angles
so
y=90° -----> equation A
x+z=90° -----> equation B (by complementary angles)
x=35° -----> equation C (the smallest angle)
Substitute the value of x in equation B and solve for z
35°+z=90°
z=90°-35°=55°
therefore
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°