7. How long is a ladder leaning against wall if the top of the ladder reaches 18 ft up the wall and the angle of elevation is 65' from the base of the ladder along the ground? Draw a picture and
show work. Draw the picture. Label sides used with opp, adj or hyp, write equation and show if
multiplying or dividing to find answer.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.