Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if m∠abd = 76° and m∠dbc = 68° then m∠abc = ?

Question

if m∠abd = 76° and m∠dbc = 68° then m∠abc = ?

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle ABC=\angle ABD+\angle DBC$.

Step2: Substitute given angle measures

Substitute $\angle ABD = 76^{\circ}$ and $\angle DBC=68^{\circ}$ into the equation. So, $\angle ABC=76^{\circ}+ 68^{\circ}$.

Step3: Calculate the sum

$76 + 68=144$. So, $\angle ABC = 144^{\circ}$.

Answer:

$144$