Answer:
m∠B = 70.0° (nearest tenth)
Step-by-step explanation:
<u>Sine Rule for Angles</u>

(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
Substituting the given values into the formula to find m∠C:




Interior angles of a triangle sum to 180°



Therefore, m∠B = 70.0° (nearest tenth)
Answer: 10
Step-by-step explanation:
Triangles have 3 sides. So each side is either equivalent or one side is short while the other two are equivalent.
Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
=
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a =
≈ 21.8 ( to the nearest tenth )
Answer: 1 9/15
Step-by-step explanation:
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