Answer:
3. m1=82, m4=59. m5=98, m6=51, m7=79, m9=51, m10=129
4. m1=36, m2=90, m4=36, m5=90, m6=54, m7=126, m8=54, m9=126, m10=54, m11=36, m12=144, m13=36, m14=144
Step-by-step explanation:
3. m2=98, m3=23, m8=70
by supplementary angles, m1 + m2 = 180, since we know m2, we have m1 = 180 - 98 = 82. by corresponding angles we have m1 = m3 + m4, since we know m1 and m3, we have m4 = 82 - 23 = 59. again by supplementary angles, m3 + m4 + m5 = 180. we know m3 and m4 so m5 = 180 - 23 - 59 = 98. by alternate interior angles m4 = m7, so m7 = 59. by supplementary angles m6 + m7 + m8 = 180 so m6 = 180 - 70 - 59 = 51. by corresponding angles m6 = m9 so m9 = 51. by supplementary angles m9 + m10 = 180 so m10 = 129
4. m3=54
m2 is a right angle so m2=90. by complementary angles m3 + m4 = 90 so m4 = 36. by vertical angles m1=m4 so m1=36. by vertical angles m2=m5 and m3=m6 so m5=90 and m6=54. by corresponding angles m7 = m2+m1 so m7=126. by supplementary angles m7+m8 = m7+m10 = 180 so m8=10=54. by vertical angles m7=m9 so m9=126. by corresponding angles m1=m11 and m3=13 so m11 and m13 = 54. by supplementary angles m12+m13= m11+m14 = 180, so m12 = m14 = 144
