JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.

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asked Dec 23, 2022 209k views

2 Answers

Juan G Carmona · Answer 1 · 2022-12-28T05:20:54+0000

MJH = 120

Let TJH = x

You’re told MJT is 4 times TJH

So you have 4x + x = 120

Simplify: 5x = 120

Divide both sides by 5:

X = 24

TJH = x = 24 degrees.

JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees

So MJA = 120 - 24 - 24 = 72

MJA = 72 degrees