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A   120 deg

Step-by-step explanation:

The sum of the measures of all angles of a circle is 360 deg.

m<HML + m<LMK + m<KMJ + m<JMH = 360 deg

m<HML = 80 deg

m<LMK = 125 deg

m<KMJ = 35 deg since it's the same measure as the measure of arc KJ.

m<HML + m<LMK + m<KMJ + m<JMH = 360 deg

Now we substitute the values we know.

m<80 deg + m<125 deg + 35 deg + m<JMH = 360 deg

240 deg + m<JMH = 360 deg

m<JMH = 120

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.