In △KLM, K^=41∘\hat{K}=41^\circK^=41∘ and M^=43∘\hat{M}=43^\circM^=43∘. Calculate, with a reason, the size of x (the angle at L).
The angles of a triangle are 60°, 60° and 60°. Classify the triangle (i) by its sides and (ii) by its angles.
In △RST, side SR is extended beyond R. S^=71∘\hat{S}=71^\circS^=71∘ and T^=30∘\hat{T}=30^\circT^=30∘. Calculate, with a reason, the size of the exterior angle x.
In △ABC, B^=97∘\hat{B}=97^\circB^=97∘ and A^=41∘\hat{A}=41^\circA^=41∘. Calculate, with a reason, the size of x (the angle at C).
In △KLM, side MK is extended beyond K, forming an exterior angle of 111°. L^=41∘\hat{L}=41^\circL^=41∘. Calculate, with a reason, the size of x (the angle at M).
In △XYZ, side ZY is extended beyond Y. Z^=41∘\hat{Z}=41^\circZ^=41∘ and X^=65∘\hat{X}=65^\circX^=65∘. Calculate, with a reason, the size of the exterior angle x.
In △RST, side ST is extended beyond T, forming an exterior angle of 128°. R^=81∘\hat{R}=81^\circR^=81∘. Calculate, with a reason, the size of x (the angle at S).
In △RST, S^=73∘\hat{S}=73^\circS^=73∘ and R^=72∘\hat{R}=72^\circR^=72∘. Calculate, with a reason, the size of x (the angle at T).
In △PQR, Q^=85∘\hat{Q}=85^\circQ^=85∘ and R^=33∘\hat{R}=33^\circR^=33∘. Calculate, with a reason, the size of x (the angle at P).
In △KLM, KM=LMKM=LMKM=LM (marked) and M^=98∘\hat{M}=98^\circM^=98∘. Calculate, with reasons, the size of x.
The angles of a triangle are 90°, 59° and 31°. Classify the triangle (i) by its sides and (ii) by its angles.
In △DEF, E^=100∘\hat{E}=100^\circE^=100∘ and F^=39∘\hat{F}=39^\circF^=39∘. Calculate, with a reason, the size of x (the angle at D).
