Potatodoggy06 Potatodoggy06

27-09-2021
Mathematics

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In the diagram below, BC−→− bisects ∠FBE
If m∠ABF=(7x+20)°, m∠FBC=(2x−5)° and m∠ABC=159°, find the value of x.

In the diagram below BC bisects FBE If mABF7x20 mFBC2x5 and mABC159 find the value of x class=

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mconnor67 mconnor67

27-09-2021

Answer: X=16

Step-by-step explanation:

m<ABF + m<FBC = m<ABC

7x + 20 + 2x - 5=159 by substitution

9x + 15=159 by combining like terms

9x=144 by subtracting 15 from 159

x=16 by division

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