Solve the following1) Given: L1 and L3 arem L1 = 65"; whatsupplementary anglesis the measuresof L3
Answer (1)
Answer:To find the measure of angle \( L3 \) when \( L1 \) and \( L3 \) are supplementary angles, we need to recall that supplementary angles add up to 180°.the answer is 115°.Step-by-step explanation:Given:- \( m \angle L1 = 65° \)- \( L1 \) and \( L3 \) are supplementaryThe measure of \( L3 \) can be found using the equation:\[m \angle L1 + m \angle L3 = 180°\]Substituting the value of \( m \angle L1 \):\[65° + m \angle L3 = 180°\]Now, solve for \( m \angle L3 \):\[m \angle L3 = 180° - 65° = 115°\]Thus, the measure of \( L3 \) is \( 115° \).
