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TAS
NOT
SCAL
B
58°
A, B, C and D are points on the circumference of the circle, centre O.
DOB is a straight line and angle DAC = 58°.
Find angle CDB.


TAS NOT SCAL B 58 A B C And D Are Points On The Circumference Of The Circle Centre O DOB Is A Straight Line And Angle DAC 58 Find Angle CDB class=

Sagot :

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32