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 YNZ in degrees given that YZN is 35º and NZ forms a diameter
a
145º
b
130º
c
85º
d
e
40º
f
55º
2
An svg image showing a math problem
Find angle ZDP in degrees given that ZPD is 45º and DP forms a diameter
a
60º
b
120º
c
d
30º
e
45º
f
90º
3
An svg image showing a math problem
Find angle MYD in degrees given that MDY is 35º and YD forms a diameter
a
100º
b
c
55º
d
10º
e
85º
f
40º
4
An svg image showing a math problem
Find angle MND in degrees given that MDN is 55º and ND forms a diameter
a
50º
b
25º
c
d
10º
e
35º
f
20º
5
An svg image showing a math problem
Find angle NRB in degrees given that NBR is 55º and RB forms a diameter
a
20º
b
25º
c
80º
d
10º
e
35º
f
50º
6
An svg image showing a math problem
Find angle MBY in degrees given that MYB is 65º and BY forms a diameter
a
55º
b
25º
c
d
35º
e
100º
f
10º
7
An svg image showing a math problem
Find angle DCP in degrees given that DPC is 25º and CP forms a diameter
a
10º
b
140º
c
155º
d
20º
e
95º
f
65º