Four angles share a vertex. mL1 = 98°, mL2 = 82° mL3 = 98°. mL4=81

Question

with <1? (1 point)

Answer 1

Since the sum of the measures of angles around a vertex is 360°, we can find the measure of <1 by subtracting the sum of the measures of angles 2, 3, and 4 from 360°.

<1 = 360° - (mL2 + mL3 + mL4)
<1 = 360° - (82° + 98° + 81°)
<1 = 360° - 261°
<1 = 99°

Therefore, <1 = 99°.