Lines m and n are parallel.
2 answers:
Answer:
The angle 1 will be equal to 55°.
Step-by-step explanation:
See the attached diagram.
Here, line m and line n are parallel and line k is the transverse line.
So, from the properties of parallel lines with a transverse line the angle 55° and the angle 1 are corresponding angles and they are equal.
Therefore, angle 1 will be equal to 55°. (Answer)
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Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
Sin P = 0.3
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°