volume_mute

Find the measure of the following angle

publish date: 2023/05/22 11:37:00 GMT+10

volume_mute

m($\angle{DBE}$)

$find_x_and_angle.jpg$

Value of x =

m(∠DBE) =

(1) 32

(2) 148

Note that ∠ABD and ∠CBE are vertical angles. By using this property you can find the values of x

m(∠ABD) = m(∠CBE)

2x +8 = 4x + 32^o ⇒

4x - 2x = 32^o - 8^o ⇒

2x = 24^o ⇒

x = 12^o

then m(∠ABD) = 2 * 12^o + 8^o = 32^o

Since ∠ABD and ∠DBE are supplementary angles, then

m(∠ABD) = 180^o - 32^o = 148^o

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