Question

Find

m
∠
C
m∠Cm, angle, C.
Note that
m
∠
C
m∠Cm, angle, C is acute. Round to the nearest degree.

∘
∘
degrees

4
7
∘
47
∘

6
6
7
7
A
A
B
B
C
C

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Answer 1

In this context:

`\boxed{m\angle C=47^(\circ)}`

Step-by-step explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll asume the triangle shown below. From the statement angle C is acute. Remember that an acute angle is an angle that measures less than 90 degrees. Also, remember that the internal angles of any triangle add up to 180 degrees. Then:

`m\angle A+m\angle B+m\angle C=180^(\circ) \\ \\ \\ But: \\ \\ m\angle A=110^(\circ) \\ \\ m\angle B=23^(\circ) \\ \\ \\ Substituting \ values: \\ \\ 110^(\circ) +23^(\circ)+m\angle C=180^(\circ) \\ \\ \\ Isolating \ m\angle C: \\ \\ m\angle C=180^(\circ)-(110^(\circ) +23^(\circ)) \\ \\ m\angle C=180^(\circ)-(133^(\circ)) \\ \\ \boxed{m\angle C=47^(\circ)}`