Question

examine the diagram. what is the m∠1? 21° 42° 71° 82° n 63° (15x - 3)° l (8x + 7)° m 1

Explanation:

Step1: Use vertical - angle property

$15x - 3=63$
$15x=66$
$x = 4.4$

Step2: Find angle adjacent to ∠1

$8x + 7=8\times4.4+7=35.2 + 7=42.2$

Step3: Use linear - pair property

$m\angle1=180-(42.2 + 63)=71$

Answer:

$71^{\circ}$