. If in a triangle LMN:
(a) ∠L = 80°, ∠M = 50°, find ∠N,
(b) ∠M = 60°, ∠N = 60°, find ∠L,
(c) ∠M = 100°, ∠ N = 30°, find ∠ L,
(d) ∠N = 90°, ∠L = 45°, find ∠M.
Mention the kind of triangle also.
Answers
(a) Angle L= 80 degrees and and angle m= 50 degrees
The measurement of a triangle= 180 degrees
let N be x
Hence,
x + 80 + 50= 180
x= 180- 130
x= 50 degrees (isoceles)
Accordingly,
(b) L= 60 degrees( equilateral )
(c) L= 50 degrees ( scalene )
(d) M= 45 degrees (isoceles)
Hope it helps
Answer:
. If in a triangle LMN:
a) ∠L = 80°, ∠M = 50°, find ∠N
The sum of the angle of a triangle = 180°
L + M + N = 180°
80° + 50° + N = 180°
130° + N = 180°
N = 180° -130
N = 50 °. ( isoclese )
(b) ∠M = 60°, ∠N = 60°, find ∠L,
The sum of the angle of a triangle = 180°
M + N + L = 180°
60° + 60° + L = 180°
120° + L = 180°
L = 180° - 120°
L = 60°. ( Equivalent )
c) ∠M = 100°, ∠ N = 30°, find ∠ L,
The sum of the angle of a triangle = 180°.
M + N + L = 180°
100° + 30° + L = 180°
130° + L = 180°
L = 180° - 130°
L = 50°. /( Scalene )
(d) ∠N = 90°, ∠L = 45°, find ∠M.
The sum of the angle of a triangle = 180°
N + L + M = 180°
90° + 45° + M = 180°
135° + M = 180°
M = 180° - 135°
M = 45°. ( isoceles)
Step-by-step explanation:
hope it helps you
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