CAPS · Grade 8 · R
In △DEF, DE=FEDE=FEDE=FE (marked) and D^=35∘\hat{D}=35^\circD^=35∘. Calculate, with reasons, the size of x.
In △RST, RT=STRT=STRT=ST (marked) and T^=54∘\hat{T}=54^\circT^=54∘. Calculate, with reasons, the size of x.
In △DEF, DE=FEDE=FEDE=FE (marked) and D^=43∘\hat{D}=43^\circD^=43∘. Calculate, with reasons, the size of x.
In △DEF, side FD is extended beyond D, forming an exterior angle of 67°. E^=34∘\hat{E}=34^\circE^=34∘. Calculate, with a reason, the size of x (the angle at F).
In △PQR, RQ=PQRQ=PQRQ=PQ (marked) and Q^=92∘\hat{Q}=92^\circQ^=92∘. Calculate, with reasons, the size of x.
Two sides of a triangle are 4 cm and 4 cm, and the angle between them is 59°. Classify the triangle (i) by its sides and (ii) by its angles.
The angles of a triangle are 60°, 60° and 60°. Classify the triangle (i) by its sides and (ii) by its angles.
The angles of a triangle are 90°, 45° and 45°. Classify the triangle (i) by its sides and (ii) by its angles.
The angles of a triangle are 90°, 34° and 56°. Classify the triangle (i) by its sides and (ii) by its angles.
In △RST, SR=TRSR=TRSR=TR (marked) and S^=64∘\hat{S}=64^\circS^=64∘. Calculate, with reasons, the size of x.
In △ABC, side CB is extended beyond B. C^=40∘\hat{C}=40^\circC^=40∘ and A^=62∘\hat{A}=62^\circA^=62∘. Calculate, with a reason, the size of the exterior angle x.
In △XYZ, X^=42∘\hat{X}=42^\circX^=42∘ and Z^=94∘\hat{Z}=94^\circZ^=94∘. Calculate, with a reason, the size of x (the angle at Y).