Question

Find the measure of the angle indicated. 6

Figure
Solve for x
Find measure of angle indicated
2)
M2U
1)
S
T
80
24x+4
1
6+21x
U
mZC
3)
4)
20
B
[21x+6
24x + 4 21x+6
D

Answer 1

1) m∠U = 90°

2) m∠C = 80°

Explanation:

1) The given figure is a quadrilateral

The sum of the interior angles of quadrilateral = 360°

∴ The sum of the interior angles of the given figure = 360°

Therefore, we have;

80° + 24·x + 4 + 6 + 21·x + 90° = 360°

80° + 45·x + 10 + 90° = 360°

x = (360°- (80° + 10° + 90°))/45 = 4

x = 4

m∠U = 6 + 21·x = 6 + 21 × 4 = 90

m∠U = 90°

2) The sum of the interior angles of the given quadrilateral = 360°

∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°

86·x + 16 = 360°

x = (360° - 16°)/86 = 4

x = 4

m∠C = 20·x = 20 × 4 = 80

m∠C = 80°

3) In the figure, some angles are left out, therefore, more information on the remaining angles required