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in the figure below, m∠fgj = 153° and m∠2 = 99°. find m∠1.

Question

in the figure below, m∠fgj = 153° and m∠2 = 99°. find m∠1.

Explanation:

Step1: Identify angle - relationship

$\angle FGJ=\angle 1+\angle 2$

Step2: Solve for $\angle 1$

$\angle 1=\angle FGJ - \angle 2$
Substitute $\angle FGJ = 153^{\circ}$ and $\angle 2=99^{\circ}$ into the formula: $\angle 1=153 - 99$

Answer:

$54$