Given that m IHJ = (3a + 6)° and m KHT = (5a - 18)°,
identify m IHJ.

.

Step-by-step explanation:

Start by showing that by .

(Triangle and are congruent by side, side, side- all three pairs of corresponding sides are equal in length.)

From the diagram, and already share two pairs of sides of the same length:

It is also given that and .

However, combined with and would not be sufficient for showing that by side, angle, side (.) Two triangles are congruent by only if angle that is equal is between the two pairs of sides.

Since and are both right triangles, the Pythagorean Theorem would apply:

in .

Likewise:

in .

Since :

.

Therefore, by (, , and .)

By congruency, .

Thus, . Solve this equation to get .

Therefore, .

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