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BRAINLIEST 60 POINTS!! PLEASE HELP ITS DUE TODAY


First image is for question 1, and second image is for question 2


1. Remember what we know about vertical angles and solve for x.








2. Use the figure to answer the questions.


(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.

(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

BRAINLIEST 60 POINTS PLEASE HELP ITS DUE TODAYFirst image is for question 1 and second image is for question 21 Remember what we know about vertical angles and class=
BRAINLIEST 60 POINTS PLEASE HELP ITS DUE TODAYFirst image is for question 1 and second image is for question 21 Remember what we know about vertical angles and class=

Respuesta :

Answer:

1.[tex]x^\circ= 7^\circ[/tex]

2.(a)Therefore , Side LJ =side CA

(b) BC = KL

Step-by-step explanation:

1.

we know that, vertically opposite angles are congruent .

[tex]\therefore (x+16)^\circ= (4x-5)^\circ[/tex]

[tex]\Leftrightarrow 4x^\circ-x^\circ= 5^\circ+16^\circ[/tex]

[tex]\Leftrightarrow 3x^\circ= 21^\circ[/tex]

[tex]\Leftrightarrow x^\circ= 7^\circ[/tex]

2.

(a)SAS = side,angle , side

Given ,side AB = side KJ

and ∠CAB= ∠LJK

All Pythagorean Triples are unique.

Since side AB = side KJ

Therefore , Side LJ =side CA

It satisfies SAS postulate ThereforeΔABC≅ΔKJL

(b)

HL Theorem: If hypotenuse and one leg of of a right triangle are congruent to the hypotenuse and one leg of of other right triangle , then the triangle congruent.

Since,

All Pythagorean Triples are unique.

Then hypotenuse of ΔABC=ΔLKJ ⇔BC = KL

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