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Mathematics
UTME / JAMB 2025
Triangles and Polygons
Solution
Calculate the interior angle of a 5 - sided regular polygon
A
120º
B
90º
C
108º
D
180º
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Triangles and Polygons
Diagram
Solution
Given the triangle XYZ above, calculate the value of Cot \(\theta\) and the length XY, respectively
A
\(\frac{\sqrt{48}}{13}\), \(\sqrt{48}\)
B
\(\frac{\sqrt{48}}{11}\), \(\sqrt{48}\)
C
\(\frac{\sqrt{13}}{11}\), \(\sqrt{13}\)
D
\(\frac{13}{\sqrt{48}}\), \(\sqrt{48}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Solution
Which of the following angles is an exterior angle of a regular polygon?
A
95°
B
78°
C
72°
D
85°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In the diagram below, AB||DC, the bisectors of < BAC and < ACD meet at E. Find the value of < AEC
A
45°
B
60°
C
30°
D
90°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In △ABC above, BC is produced to D, |AB| = |AC|, and ∠BAC = 50°. Find ∠ACD.
A
115°
B
65°
C
60°
D
50°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In the diagram above, < PRQ = 90º, < QPR = 30º and |PQ| = 10 cm. Find y
A
6cm
B
4cm
C
5cm
D
3cm
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2023
Triangles and Polygons
Solution
The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.
A
12
B
15
C
10
D
14
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Triangles and Polygons
Solution
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
A
13
B
14
C
15
D
16
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Triangles and Polygons
Diagram
Solution
Find the area of the sector OPSQ
A
15.40cm\(^2\)
B
17.64cm\(^2\)
C
23.10cm\(^2\)
D
32.34cm\(^2\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2021
Triangles and Polygons
Solution
Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
A
9
B
8
C
7
D
5
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2021
Triangles and Polygons
Solution
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
A
5x - 30
B
4x + 60
C
60 - x
D
3x + 61
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Triangles and Polygons
Solution
The sum of the interior angles of a regular polygon with k sides is (3k-10) right angles. Find the size of the exterior angle?
A
60°
B
40°
C
90°
D
120°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Triangles and Polygons
In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).
Find the area of △LMN
A
60cm\(^2\)
B
48cm\(^2\)
C
24cm\(^2\)
D
30cm\(^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Triangles and Polygons
Which of the following is not an exterior angle of a regular polygon?
A
66°
B
72°
C
24°
D
15°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2019
Triangles and Polygons
Diagram
Solution
In XYZ, |YZ| = 32cm, < YXZ 53\(^o\) and XZY = 90\(^o\). Find, correct to the nearest centimetre, |XZ|
A
31 cm
B
25 cm
C
20 cm
D
13 cm
medium Difficulty
Study Solution