Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
Associative Property states that grouping symbols does not affect the outcome. This property works for Addition and Multiplication:
2 + (3 + 4) = (2 + 3) + 4
6 • (5 • 4) = (6 • 5) • 4
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer: 135*
Step-by-step explanation:
35* is what the bottom left side of the triangle angle equals because of congruency.
All triangles = 180*
180 - 100 - 35 = 45*
top angle of triangle = 45 *
said angle (45) + x angle = 180
x = 135*
(14,300 x 100) / 22,000 = 65%
100% - 65% = 35%