Find the size of angle MBD in the figure below

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Expert Solution

In the question, we first consider the triangle ACM.

we add the two angles ie 78⁰ + 56⁰ = 134⁰

we subtract from 180 to find the value of angle AMC.

180 - 134 = 46⁰

angles AMC and BMD are vertically opposite angles and hence they are equal

we add the two angles in triangle MBD

46 + 62 = 108⁰

we subtract 108 from 180 to find the value of the third angle

180 - 108 = 72⁰

we, therefore, have the value of angle MBD as 72⁰

the value of angle MBD as 72⁰

joseph irungu answered 2 years ago

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