,ABCD is a parallelogram in which angle dab=75,angle dbc=60. Compute angle cdb and angle adb
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Step-by-step explanation:
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<cdb = 45°
<adb = 60°
Step-by-step explanation:
It is given that <dab = 75° and <dbc = 60°
Since ABCD is a parallelogram, opposit angles are equal
<dab = <bcd and <adc = <abc
Therefore <dab + <bcd = 75 + 75 = 150°
To find <adb
<adb = <dbc (alternate interior angle)
therefore <adb = 60°
To find <cdb
<adc + <abc = 360 - 150 = 210
<adc = 105 and <abc = 105
<abc = <abd + <cbd
<abd = 105 - 60 = 45°
<abd = <cdb = 45° (alternate interior angle)
<cdb = 45°
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