Question

9/25 angles are awesome circuit
find m<abc =
3x + 30 6x - 3

Explanation:

Step1: Use linear - pair property

Since $\angle ABC$ and $\angle CBD$ form a linear - pair, their sum is $180^{\circ}$. So, $(3x + 30)+(6x - 3)=180$.

Step2: Combine like terms

$3x+6x+30 - 3=180$, which simplifies to $9x + 27=180$.

Step3: Solve for $x$

Subtract 27 from both sides: $9x=180 - 27=153$. Then divide both sides by 9: $x=\frac{153}{9}=17$.

Step4: Find $m\angle ABC$

Substitute $x = 17$ into the expression for $\angle ABC$ which is $3x + 30$. So, $m\angle ABC=3\times17+30=51 + 30=81$.

Answer:

$81$