In the figure ghf =aehd. which statement is true by cpctc?

 ∠HFG=∠HDE

Step-by-step explanation:

CPCTC acronym stands for Corresponding parts of congruent triangles are congruent, when two triangles are congruent then their corresponding parts are equal.

Given:- ΔGHF ≅ ΔEHD

Corresponding vertices are G→E, H→H, F→D

⇒∠GHF=∠EHD, ∠HGF=∠DEH and ∠HFG=∠HDE   [CPCTC]

Therefore, third option is the right answer.

∠HFG=∠HDE

Rest of other are incorrect as they are not corresponding parts of the congruent triangles.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

a

b

d

step-by-step explanation: