Inscribed Triangle on Diameter - Missing Angle (Level 2)

This math topic focuses on solving problems related to inscribed triangles in circles, where one side of the triangle is a diameter. Specifically, it involves finding the missing angle of the triangle using properties from circle geometry. Each question presents a triangle with one known angle and requires calculating the second angle, exploiting the theorem that an angle inscribed in a semicircle is a right angle (90 degrees). The topic is suitable for learners at an intermediate level in geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/
1
An svg image showing a math problem
Find angle ZNP in degrees given that ZPN is 35º and NP forms a diameter
a
20º
b
130º
c
55º
d
40º
e
25º
f
2
An svg image showing a math problem
Find angle PCD in degrees given that PDC is 35º and CD forms a diameter
a
40º
b
70º
c
100º
d
25º
e
55º
f
130º
3
An svg image showing a math problem
Find angle NYD in degrees given that NDY is 65º and YD forms a diameter
a
115º
b
70º
c
100º
d
25º
e
40º
f
55º
4
An svg image showing a math problem
Find angle XDB in degrees given that XBD is 45º and DB forms a diameter
a
45º
b
30º
c
75º
d
60º
e
135º
f
120º
5
An svg image showing a math problem
Find angle XPZ in degrees given that XZP is 25º and PZ forms a diameter
a
20º
b
110º
c
155º
d
140º
e
125º
f
65º
6
An svg image showing a math problem
Find angle DXR in degrees given that DRX is 25º and XR forms a diameter
a
65º
b
50º
c
155º
d
140º
e
10º
f
20º
7
An svg image showing a math problem
Find angle MCD in degrees given that MDC is 25º and CD forms a diameter
a
140º
b
65º
c
80º
d
95º
e
20º
f
10º
Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 2) - Mobius Math