Answer:
∠T = 135°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
∠T + ∠S = 180
However, ∠T = 3∠S, hence
3∠S + ∠S = 180
4∠S = 180 ( divide both sides by 4 )
∠S = 45°, hence
∠T = 180° - 45° = 135°
Triangles DEF and JKL can be proven to be congruent triangles based on:
C. ASA
E. AAS
F. LA
<h3>What is the ASA Congruence Theorem?</h3>
The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.
<h3>What is the
LA Congruence Theorem?</h3>
The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.
<h3>What is the AAS Congruence Theorem?</h3>
The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.
From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.
Learn more about the LA, AAS, and ASA congruence theorems on:
brainly.com/question/2102943
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Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
Answer:
Step-by-step explanation:
Begin
If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.
<4 = 38 z formation for parallel lines.
<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90
<2 = 52 z formation of parallel lines (a rhombus has ll lines).
<3 = 38 The diagonals of a rhombus bisect each other.
<5 = 38 z formation for parallel lines.
<6 = 52 The diagonals of a rhombus are angle bisectors.
<1 = 52 The diagonals of a rhombus are angle bisectors.
Answer:
20
Step-by-step explanation:
This is the information we know :
A. a = 4
B. b = 15
C. c = 16
a + c
The a and c represent variables that must be substituted by their value, since we know their initial value, we substitute :
a + c when a = 4 and c = 16
4 + 16
20
